Q&A for How to Calculate Unit Rate

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  • Question
    If Becky can bike 75 miles in 3 hours, how many hours will it take her to bike 125 miles?
    Abbotheeggo
    Community Answer
    It will take Becky 5 hours to bike 125 miles.
  • Question
    How do I find the unit cost of something when I know the price and weight?
    Donagan
    Top Answerer
    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 $3.00 divided by 2 pounds, or $1.50 per pound.
  • Question
    A recipe uses 6 cups of flour to make 4 pancakes, so how many cups of flour do I need to make 10 pancakes? How do I use the unit rate to solve this problem?
    Donagan
    Top Answerer
    If it takes 6 cups of flour to make 4 pancakes, it takes 1½ cups to make 1 pancake. So the unit rate is 1½ cups per pancake. Multiply the unit rate by 10 pancakes to calculate the answer: (1½)(10) = 15 cups of flour.
  • Question
    If a recipe calls for 2/3 of sugar for every 1/2 teaspoon of vanilla, what would the unit rate be?
    Donagan
    Top Answerer
    The rate of sugar per teaspoon of vanilla is simply twice the rate of sugar per ½ teaspoon of vanilla. Twice 2/3 cup is 4/3 or 1 1/3 cups of sugar per tsp of vanilla.
  • Question
    What is the unit price of 64 oz of ketchup if the price is 4.99 and the unit rate is 0.08?
    Donagan
    Top Answerer
    If the total price is 4.99, the unit price is 4.99/64 = 0.07797, which can be rounded up to 0.08.
  • Question
    What's the rate of 4 pies in 132 seconds?
    Donagan
    Top Answerer
    The unit rate would be 4/132 = 1/33, or 1 pie in 33 seconds. If you want the rate of pies-per-second, it's 1/33 of a pie per second.
  • Question
    How do I find unit rate with fractions?
    Community Answer
    Use proportions. Multiply the numbers by the diagonal and divide by the last remaining number (For example, x/1 = 2/4, 2*1 = 2, 2/4 = 0.5. So, x = 0.5).
  • Question
    Why are ratio and rate different than each other?
    Donagan
    Top Answerer
    A ratio is often a comparison of one abstract number to another. A rate is a comparison of one unit of measurement to another (say, amounts of money, weights, volumes or objects).
  • Question
    Mary's driving along a country road at .2 miles per minute. At this speed, how many miles will Mary drive in 35 minutes? (Solve this problem three different ways.)
    Donagan
    Top Answerer
    .2 mile per minute equals (.2)(60) = 12 miles per hour. 35 minutes is 35/60 of an hour. Her distance traveled in 35 minutes is (speed)(time) = (12)(35/60) = 7 miles.
  • Question
    A breakfast cereal costs $3.75 for 750 g, what is unit rate?
    Donagan
    Top Answerer
    The initial ratio is $3.75 : 750 g. Divide both terms by 750 so that the second term will be 1 g. That results in a unit rate of $0.005 / g, or one-half cent per gram.
  • Question
    4/6 :1/3 in unit rate?
    Donagan
    Top Answerer
    (4/6):(1/3) = (2/3):(1/3) = 2:1.
  • Question
    What is 240 yards/1hour turned into feet per second?
    Donagan
    Top Answerer
    240 yards = 720 feet. 1 hour = 3600 seconds. 720 feet / 3600 seconds = 0.2 foot / 1 second = 0.2 ft per seconds.
  • Question
    Emily can rider her scooter 18 miles in 50 minutes. What is her unit rate in miles per hour?
    Donagan
    Top Answerer
    First you need to change 50 minutes to 60 minutes (1 hour). Do that by adding 10 minutes, which is 1/5 of 50. That means you have to add 1/5 of 18 to 18 miles. 1/5 of 18 is 3.6. 18+3.6=21.6. So the unit rate is 21.6 miles per hour. Get the same result by cross-multiplying: 18 / 50 = x / 60. (18)(60) = (50)(x). 1080 = 50x. x=21.6 miles.
  • Question
    Geologists in Antarctica find an average of 7 meteorite fragments in every 500 tons of gravel they sift through. How much gravel must they sift through in order to get 100 fragments? Round to the nearest.
    Donagan
    Top Answerer
    7 fragments is to 100 fragments as 500 tons is to how many tons? Thus, 7 / 100 = 500 / x. By cross-multiplying, 7x = 50,000. x = 50,000 / 7 = 7142.8 or 7143 tons.
  • Question
    Why is math so hard?
    Donagan
    Top Answerer
    Math is what it is. Whether or not it's "hard" is a matter of opinion. It seems that a person born with the ability to think logically or linearly does not usually struggle with math as much as a person born with other abilities. It also seems that a person not born with a "math brain" is unlikely in later life to use math very much. Pursuing good grades in school is another discussion.
  • Question
    How do I calculate multiple unit rates at the same time if I know the ratio?
    Community Answer
    Set up a fraction with the total cost as the numerator (top number) and the total number of items as the denominator (bottom number).
  • Question
    Bob jogs 3 miles in 27 minutes. At this rate, how long would it take for him to jog 5 miles?
    Donagan
    Top Answerer
    Set up the equation: 3 mi / 5 mi = 27 min / x min ("3 miles is to 5 miles as 27 minutes is to x minutes.") Then cross-multiply and solve for x. (3)(x) = (5)(27). 3x = 135. x = 45 minutes.
  • Question
    How much will it cost to buy 100g of smoked Gouda if it is R60 per 250g?
    Donagan
    Top Answerer
    Set up the equation: 100 / 250 = x / 60. ("100 grams is to 250 grams as x is to 60.") Then cross-multiply and solve for x: (100)(60) = (250)(x). 6000 = 250x. x = 24. 100g costs R24.
  • Question
    Is every ratio a rate?
    Donagan
    Top Answerer
    While not every ratio actually refers to a rate, every ratio could be thought of as expressing a rate. For example, the ratio 3 : 8 could be seen as meaning three units per every eight units.
  • Question
    If there is 8 miles that go in 3 hours, then how many miles will the car go in 12?
    Donagan
    Top Answerer
    Assuming the velocity of the car remains the same, if you multiply the amount of time by 4, you would multiply the distance by 4: 8x4 = 32 miles.
  • Question
    How do I find the unit rate of a figure?
    Community Answer
    You take the total area and divide it by the length and width [divide it by the height if included as well]. And then you can find the UR of the figure. In other words, you are finding the area of each cube in the figure.
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