A recipe calls for 1/4 cup of sugar when being made for 4 people. How much sugar is needed if the recipe is adjusted to feed 7 people?

1 Answer
MathFact-orials.blogspot.com
Jan 13, 2017

7/16 cup

Explanation:

We can use a ratio to find the answer. We can relate the original recipe in the numerators (4 people and 1/4 cup of sugar) and the adjusted amounts in the denominators (7 people and the amount of sugar needed):

("4 people"/"7 people")=("1/4 cup"/"x cup")

To make things easy, I'll drop the units:

4/7=(1/4)/x

We can now cross multiply to find x:

4x=7/4

x=7/16

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