How To Find Unit Rate With Money

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"Unit rate" is a comparison of any two split but related measurements when the 2d of these measurements is reduced to a value of one. Calculating the unit of measurement rate in any fix of circumstances will crave the utilize of sectionalization.

1. 1

   Empathize unit rate. The unit of measurement rate is a special type of ratio in which the two split measurements are compared and expressed as a quantity of one.^[1]

   • A "ratio" is any comparison of two numerical measurements. Each measurement is called a "term."
   • A "rate" is a ratio in which the two terms are measured in unlike units. All rates are ratios, but not all rations are rates.
   • A "unit rate" is a charge per unit in which the second term equals "i." When calculating a unit rate, you demand to determine how much of the kickoff term exists for every one unit of the 2nd term.

2. 2

   Look at the data. The problem must have two terms, and you must be asked to determine how much of one term exists per unit of the other term.

   • Common examples include: speed (miles/kilometers per hr), unit price (cost per detail), and wage (earnings per 60 minutes/week).^[2]
   • If you aren't sure about whether or not you're existence asked for the unit of measurement rate, await for the word "per" somewhere in the description. Some unit charge per unit problems won't include "per," but many practice.
   • Example: A certain bakery tin can broil 40 loaves of bread in an 8 hr work day. How many loaves of bread tin can that aforementioned baker make in one hour? In other words, how many loaves of bread are typically baked per hour?

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3. 3

   Rewrite the data every bit a sectionalisation problem. The showtime term in the trouble—the amount yous are trying to calculate per unit—will become the numerator (tiptop number). The second term—the unit of measurement—will become the denominator (bottom number).

   • Example: You must calculate loaves of bread per unit of time (in this instance, the unit of time is an hour). The total loaves of breadstuff will become the numerator, and the total hours will become the denominator, giving you lot:
     • 40 loaves / eight hours

4. 4

   Split both values past the denominator. To detect the unit rate, merely solve the newly written sectionalisation trouble. Doing so will reduce the denominator to "ane."^[iii]

   • Case: Divide the full number of loaves by the total number of hours: xl loaves / 8 hours = v loaves/hours

5. five

   Write the solution. You lot should now take your final answer prepare.

   • Make sure that you include both units in your respond. You tin can either separate the units with the fraction sign (/) or with the word "per."
   • Instance: This bakery can bake 5 loaves/hour.
     • Alternatively, you could write, "This bakery tin bake 5 loaves per hr."

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1. 1

   Examine the problem. To summate the unit cost of whatsoever production, y'all will demand to know how much money it will price to purchase a certain, set corporeality of that product. Utilise this data to summate how many dollars (or another unit of currency) it will cost to purchase one unit of that product.

   • In other words, you are computing the cost per detail.
   • Example: Jennifer purchased seven boxes of cereal for a total toll of $16.38 (without tax). Bold each box of cereal cost the same amount of coin, calculate the unit price on the cereal Jennifer purchased.

2. two

   Separate the total cost by the total amount. Gear up upwards a fraction with the total cost as the numerator (superlative number) and the full number of items equally the denominator (bottom number). Divide the full toll past the total number of items to reduce the denominator to a value of one.

   • Example: The total cost, $16.38, should be set as the numerator. The number of items, vii, should be set as the denominator. In other words, the cereal costs: $16.38 / seven boxes
     • Care for the fraction as a division trouble and solve: $16.38 / 7 boxes = $2.34 / box

3. 3

   Write your final answer. At this indicate, you should know the unit of measurement price of the product in question. Write the unit of measurement toll as an expression of toll per particular.

   • Make sure that you include both units labels in your reply.
   • Example: The toll per box of cereal is $ii.34.
     • Another way of writing this answer would exist: The price of the cereal is $2.34 / box.

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1. 1

   Look at the problem. To summate wage, you demand to know how much coin will exist earned over a specific period of fourth dimension. You tin so apply that information to determine how many dollars (or some other unit of measurement of currency) volition be earned per one unit of time.

   • Essentially, you computing the toll per unit of measurement of time.
   • Annotation that the unit of time will vary depending on the circumstances. In many cases, the unit of time used will be the "hr." In some cases, though, you may need to use "day," "week," "month," or "twelvemonth."
   • Instance: Robert worked forty hours this week and earned $630.00 before taxes. Summate Robert's wage as an expression of how much money Robert earns per hour.

2. 2

   Divide the full pay by the full time. ^[iv] Rewrite the information in the grade of a fraction. The total pay should exist the numerator (top number) and the full amount of time should exist the denominator (lesser number). Dissever the numerator by the denominator to reduce that denominator to a value of one.

   • Example: Gear up the total pay, $630, equally the numerator. Set the total number of hours, 40, every bit the denominator. You should take: $630 / 40 hours
     • Split up the fraction accordingly: $630 / 40 hours = $fifteen.75 / hr

3. 3

   Write your final answer. You should now know the wage of the job in question. Write this downward every bit an expression of cost per unit of time.

   • Yous must include both units labels in your answer.
   • Example: Robert's earns a wage of $xv.75 per hr.

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1. i

   Look at the provided data. To calculate the speed of any moving object, you will need to know how much distance has been travelled over a sure period of time. From that data, you should be able to determine how many miles (or another measurement of distance) has been travelled per hour (or some other unit of time).

   • In essence, you are computing the distance per unit of time.
   • The units will vary depending on the circumstance, simply one unit must express altitude (mile, kilometre, feet, meters, etc.) and the other unit must express fourth dimension (hours, minutes, seconds, etc.).
   • Instance: The Smith family unit travelled 150 miles in 3 hours. If they collection the aforementioned speed during the entire trip, how fast did the Smith family unit car drive as an expression of miles per hour?

2. 2

   Divide the total distance by the total time. Write the data yous have in the form of a fraction. The distance should be gear up as the numerator (top number) and the corporeality of fourth dimension should be set every bit the denominator (bottom number). Divide the altitude by the time as indicated, reducing the denominator to 1 unit of time.

   • Example: Prepare the total number of miles, 150, as the numerator. Set up the total number of hours, iii, as the denominator. This should give you lot a fraction of 150 miles / iii hours
     • Treat the fraction as a division problem: 150 miles / 3 hours = fifty miles / hour

3. 3

   Write your last answer. Completing the previous step should tell you the speed of the object in question. Write the speed as an expression of distance per unit of time.

   • Brand certain that both unit labels are included in your final answer.
   • Case: The Smith family unit drove their car at a speed of 50 miles per hour (miles/hour).

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1. 1

   Examine the data. To calculate the gas mileage of a motor vehicle, you lot will need to know how much distance the vehicle is capable of travelling on a certain amount of gasoline. Use that data to summate how many miles (or another unit of distance) tin be travelled per gallon (or another unit of volume) of gasoline.

   • This means that you'll be computing the distance per volume of gasoline.
   • The units may vary based on circumstance, but ane must express distance (usually miles or kilometres) and the other must express book (usually gallons or litres).
   • Example: The Smith family's car needed iv.2 gallons of gasoline to bulldoze a distance of 150 miles. Based on this data, determine the boilerplate gas mileage their vehicle is capable of as an expression of miles per gallon.

2. 2

   Divide the total number of miles past the total number of gallons. Rewrite the data as a fraction, placing the distance in the numerator (top portion) and the book of gasoline in the denominator (lesser portion). Divide the numerator by the denominator, reducing the denominator into one unit of measurement of volume.

   • Example: The number of miles, 150, should be the numerator and the number of gallons, iv.2, should be the denominator. This means that: 150 miles / 4.2 gallons
     • Care for the fraction as a division trouble and solve: 150 miles / 4.2 gallons = 35.seven miles / gallon

3. 3

   Write your final reply. The previous footstep should indicate the gas mileage of the vehicle in question. Write this mileage as an expression of distance per unit of volume.

   • Both unit labels must be included in the final answer.
   • Example: The Smith family's motorcar gets boilerplate gas mileage of 35.seven miles/gallon (miles per gallon).

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Add New Question

• Question

  If Becky tin can bicycle 75 miles in 3 hours, how many hours will it accept her to bike 125 miles?

  

  Abbotheeggo

  Customs Reply

  It will have Becky 5 hours to bike 125 miles.

• Question

  How do I detect the unit of measurement cost of something when I know the price and weight?

  

  The unit cost of something is its price divided by its weight. For example, if something that weighs 2 pounds costs $3.00, its unit cost is $three.00 divided by two pounds, or $1.50 per pound.

• Question

  A recipe uses half-dozen cups of flour to make 4 pancakes, so how many cups of flour do I need to brand 10 pancakes? How do I apply the unit rate to solve this trouble?

  

  If it takes 6 cups of flour to make iv pancakes, it takes 1½ cups to brand 1 pancake. So the unit rate is i½ cups per pancake. Multiply the unit charge per unit by x pancakes to summate the answer: (1½)(x) = 15 cups of flour.

• Question

  If a recipe calls for 2/iii of sugar for every 1/2 teaspoon of vanilla, what would the unit rate be?

  

  The rate of sugar per teaspoon of vanilla is but twice the charge per unit of sugar per ½ teaspoon of vanilla. Twice ii/3 loving cup is 4/3 or 1 1/three cups of saccharide per tsp of vanilla.

• Question

  What is the unit of measurement price of 64 oz of ketchup if the toll is 4.99 and the unit of measurement charge per unit is 0.08?

  

  If the total price is 4.99, the unit price is 4.99/64 = 0.07797, which tin can be rounded upwardly to 0.08.

• Question

  What's the rate of 4 pies in 132 seconds?

  

  The unit of measurement rate would be 4/132 = 1/33, or i pie in 33 seconds.

• Question

  How do I discover unit of measurement rate with fractions?

  

  Apply proportions. Multiply the numbers by the diagonal and dissever past the last remaining number (For example, 10/1 = two/four, 2*1 = 2, 2/four = 0.five. So, x = 0.5).

• Question

  A breakfast cereal costs $3.75 for 750 g, what is unit of measurement rate?

  

  The initial ratio is $three.75 : 750 g. Divide both terms by 750 so that the second term volition be 1 grand. That results in a unit charge per unit of $0.005 / g, or one-one-half cent per gram.

• Question

  4/6 :1/iii in unit rate?

  

  (4/6):(1/3) = (ii/three):(1/3) = 2:1.

• Question

  What is 240 yards/1hour turned into feet per 2d?

  

  240 yards = 720 feet. 1 hour = 3600 seconds. 720 feet / 3600 seconds = 0.2 pes / 1 2nd = 0.ii ft per seconds.

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Article Summary X

To calculate a unit of measurement rate, you want to effigy out how much of one item exists for every 1 unit of measurement of a second item. First, rewrite your data as a division problem, where the numerator is the amount y'all're trying to calculate and the denominator is the unit. To go the unit to equal ane, divide both numbers by the denominator; your answer is the number yous go by dividing the numerator past the denominator. Use this method to calculate unit price, also—you lot're calculating how much 1 particular is worth, after you're given the amount that multiple items price. Split the total cost past the amount of items to go the unit cost of 1 item. If you lot desire to learn how to calculate an hourly wage using the unit of measurement rate formula, keep reading!

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Source: https://www.wikihow.com/Calculate-Unit-Rate

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