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Camp · One of something
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1 of 10 · unit-rates-c01
A truck travels 180 miles in 3 hours. Miles per hour?
We need miles per hour: the amount for ONE hour, not the whole given amount.
The given amount is 180 miles for 3 hours. Divide miles by the number of hours to find the amount for one.
180 ÷ 3 = 60.
The unit rate is 60 miles per hour. Check backwards: 60 × 3 = 180 miles.
Answer: 60 mph
2 of 10 · unit-rates-c02
4 notebooks cost $12. Cost of one notebook?
We need dollars per notebook: the amount for ONE notebook, not the whole given amount.
The given amount is 12 dollars for 4 notebooks. Divide dollars by the number of notebooks to find the amount for one.
12 ÷ 4 = 3.
The unit rate is 3 dollars per notebook. Check backwards: 3 × 4 = 12 dollars.
Answer: 3 dollars
3 of 10 · unit-rates-c03
90 pages in 6 nights. Pages per night?
We need pages per night on average, not a promise about one particular night.
The given amount is 90 pages over 6 nights. Dividing shares that total evenly so the nights can be compared.
90 ÷ 6 = 15.
The average is 15 pages per night. Individual nights can differ. Check backwards: 15 × 6 = 90 pages.
Answer: 15 pages/night
4 of 10 · unit-rates-c04
56 ounces in 7 bottles. Ounces in one bottle?
We need ounces per bottle: the amount for ONE bottle, not the whole given amount.
The given amount is 56 ounces for 7 bottles. Divide ounces by the number of bottles to find the amount for one.
56 ÷ 7 = 8.
The unit rate is 8 ounces per bottle. Check backwards: 8 × 7 = 56 ounces.
Answer: 8 oz/bottle
5 of 10 · unit-rates-c05
A soccer team scores 24 goals in 8 games. Goals per game?
We need goals per game on average, not a promise about one particular game.
The given amount is 24 goals in 8 games. Dividing shares that total evenly so the games can be compared.
24 ÷ 8 = 3.
The average is 3 goals per game. Individual games can differ. Check backwards: 3 × 8 = 24 goals.
Answer: 3 goals/game
6 of 10 · unit-rates-c06
A printer makes 240 pages in 6 minutes. Pages per minute?
We need pages per minute: the amount for ONE minute, not the whole given amount.
The given amount is 240 pages for 6 minutes. Divide pages by the number of minutes to find the amount for one.
240 ÷ 6 = 40.
The unit rate is 40 pages per minute. Check backwards: 40 × 6 = 240 pages.
Answer: 40 pages/min
7 of 10 · unit-rates-c07
$45 for 9 pounds of peaches. Price per pound?
We need dollars per pound: the amount for ONE pound, not the whole given amount.
The given amount is 45 dollars for 9 pounds. Divide dollars by the number of pounds to find the amount for one.
45 ÷ 9 = 5.
The unit rate is 5 dollars per pound. Check backwards: 5 × 9 = 45 dollars.
Answer: 5 dollars per pound
8 of 10 · unit-rates-c08
2/3 mile in 1/6 hour. Miles per hour?
We know the distance is 2/3 mile in 1/6 hour. We want the miles in ONE hour.
Miles per hour is the distance for 1 whole hour, so divide the miles by the hours: (2/3) ÷ (1/6).
One hour contains 6 groups of 1/6 hour, because 6 × (1/6) = 1. Dividing by 1/6 therefore means multiplying by 6. The flipped form of 1/6 is 6, called its reciprocal.
(2/3) × 6 = 12/3, because 2 × 6 = 12. Then 12 ÷ 3 = 4.
Check: 4 × (1/6) = 4/6, and 4 ÷ 2 = 2 and 6 ÷ 2 = 3, so 4/6 = 2/3 mile. The rate is 4 miles per hour.
Answer: 4 mph
9 of 10 · unit-rates-c09
A recipe uses 10 cups of broth for 4 pots. Cups per pot?
We need cups per pot: the amount for ONE pot, not the whole given amount.
The given amount is 10 cups for 4 pots. Divide cups by the number of pots to find the amount for one.
10 ÷ 4 = 2.5.
The unit rate is 2.5 cups per pot. Check backwards: 2.5 × 4 = 10 cups.
Answer: 2.5 cups/pot
10 of 10 · unit-rates-c10
144 miles on 6 gallons. Miles per gallon?
We need miles per gallon: the amount for ONE gallon, not the whole given amount.
The given amount is 144 miles for 6 gallons. Divide miles by the number of gallons to find the amount for one.
144 ÷ 6 = 24.
The unit rate is 24 miles per gallon. Check backwards: 24 × 6 = 144 miles.
Answer: 24 mpg
One of something · Camp
1 of 10 · unit-rates-c01
A truck travels 180 miles in 3 hours. Miles per hour?
We need miles per hour: the amount for ONE hour, not the whole given amount.
The given amount is 180 miles for 3 hours. Divide miles by the number of hours to find the amount for one.
180 ÷ 3 = 60.
The unit rate is 60 miles per hour. Check backwards: 60 × 3 = 180 miles.
Answer: 60 mph
2 of 10 · unit-rates-c02
4 notebooks cost $12. Cost of one notebook?
We need dollars per notebook: the amount for ONE notebook, not the whole given amount.
The given amount is 12 dollars for 4 notebooks. Divide dollars by the number of notebooks to find the amount for one.
12 ÷ 4 = 3.
The unit rate is 3 dollars per notebook. Check backwards: 3 × 4 = 12 dollars.
Answer: 3 dollars
3 of 10 · unit-rates-c03
90 pages in 6 nights. Pages per night?
We need pages per night on average, not a promise about one particular night.
The given amount is 90 pages over 6 nights. Dividing shares that total evenly so the nights can be compared.
90 ÷ 6 = 15.
The average is 15 pages per night. Individual nights can differ. Check backwards: 15 × 6 = 90 pages.
Answer: 15 pages/night
4 of 10 · unit-rates-c04
56 ounces in 7 bottles. Ounces in one bottle?
We need ounces per bottle: the amount for ONE bottle, not the whole given amount.
The given amount is 56 ounces for 7 bottles. Divide ounces by the number of bottles to find the amount for one.
56 ÷ 7 = 8.
The unit rate is 8 ounces per bottle. Check backwards: 8 × 7 = 56 ounces.
Answer: 8 oz/bottle
5 of 10 · unit-rates-c05
A soccer team scores 24 goals in 8 games. Goals per game?
We need goals per game on average, not a promise about one particular game.
The given amount is 24 goals in 8 games. Dividing shares that total evenly so the games can be compared.
24 ÷ 8 = 3.
The average is 3 goals per game. Individual games can differ. Check backwards: 3 × 8 = 24 goals.
Answer: 3 goals/game
6 of 10 · unit-rates-c06
A printer makes 240 pages in 6 minutes. Pages per minute?
We need pages per minute: the amount for ONE minute, not the whole given amount.
The given amount is 240 pages for 6 minutes. Divide pages by the number of minutes to find the amount for one.
240 ÷ 6 = 40.
The unit rate is 40 pages per minute. Check backwards: 40 × 6 = 240 pages.
Answer: 40 pages/min
7 of 10 · unit-rates-c07
$45 for 9 pounds of peaches. Price per pound?
We need dollars per pound: the amount for ONE pound, not the whole given amount.
The given amount is 45 dollars for 9 pounds. Divide dollars by the number of pounds to find the amount for one.
45 ÷ 9 = 5.
The unit rate is 5 dollars per pound. Check backwards: 5 × 9 = 45 dollars.
Answer: 5 dollars per pound
8 of 10 · unit-rates-c08
2/3 mile in 1/6 hour. Miles per hour?
We know the distance is 2/3 mile in 1/6 hour. We want the miles in ONE hour.
Miles per hour is the distance for 1 whole hour, so divide the miles by the hours: (2/3) ÷ (1/6).
One hour contains 6 groups of 1/6 hour, because 6 × (1/6) = 1. Dividing by 1/6 therefore means multiplying by 6. The flipped form of 1/6 is 6, called its reciprocal.
(2/3) × 6 = 12/3, because 2 × 6 = 12. Then 12 ÷ 3 = 4.
Check: 4 × (1/6) = 4/6, and 4 ÷ 2 = 2 and 6 ÷ 2 = 3, so 4/6 = 2/3 mile. The rate is 4 miles per hour.
Answer: 4 mph
9 of 10 · unit-rates-c09
A recipe uses 10 cups of broth for 4 pots. Cups per pot?
We need cups per pot: the amount for ONE pot, not the whole given amount.
The given amount is 10 cups for 4 pots. Divide cups by the number of pots to find the amount for one.
10 ÷ 4 = 2.5.
The unit rate is 2.5 cups per pot. Check backwards: 2.5 × 4 = 10 cups.
Answer: 2.5 cups/pot
10 of 10 · unit-rates-c10
144 miles on 6 gallons. Miles per gallon?
We need miles per gallon: the amount for ONE gallon, not the whole given amount.
The given amount is 144 miles for 6 gallons. Divide miles by the number of gallons to find the amount for one.
144 ÷ 6 = 24.
The unit rate is 24 miles per gallon. Check backwards: 24 × 6 = 144 miles.
