Barbara's Coffee Shop can make lattes with either full cream milk or skim milk. On Saturday, Barbara's Coffee Shop went through 5 3/10 cartons of full cream milk and 4 1/4 cartons of skim milk. How much more full cream milk was used than skim milk?Write your answer as a fraction or as a whole or mixed number.
Question
Barbara's Coffee Shop can make lattes with either full cream milk or skim milk. On Saturday, Barbara's Coffee Shop went through 5 3/10 cartons of full cream milk and 4 1/4 cartons of skim milk. How much more full cream milk was used than skim milk?Write your answer as a fraction or as a whole or mixed number.
Solution
First, we need to determine the difference in the amount of full cream milk and skim milk used.
The amount of full cream milk used is 5 3/10 cartons. We can convert this mixed number to an improper fraction for easier calculation. The improper fraction is (5*10 + 3)/10 = 53/10.
The amount of skim milk used is 4 1/4 cartons. We can also convert this mixed number to an improper fraction. The improper fraction is (4*4 + 1)/4 = 17/4.
To find the difference, we subtract the smaller amount (skim milk) from the larger amount (full cream milk). However, before we can subtract, we need to have the same denominator. The least common denominator between 10 and 4 is 20.
So, we convert 53/10 to 106/20 and 17/4 to 85/20.
Now, we subtract 85/20 (skim milk) from 106/20 (full cream milk): 106/20 - 85/20 = 21/20.
So, Barbara's Coffee Shop used 21/20 or 1 1/20 cartons more full cream milk than skim milk.
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