Strawberries

Question

David is making his own strawberry yogurt. In David's mixture, the number of strawberries is proportional to the amount of milk, in cups. David uses 4 cups of milk for every 14 strawberries in his mixture.

 

 If the amount of strawberries increases to 28, how many cups of milk will David need?

Answer 1

This is just an application of proportions. You know that there are 4 cups for every 14 strawberries in the yogurt, which can be represented as the fraction (4/14). You also know there are 28 strawberries in the new yogurt, but don't know the cups of milk. This can be represented as (x/28). In order to determine how much milk is needed for this new amount of strawberries, you solve for the unknown in this proportion:

 

4 cups              =       x cups

14 strawberries      28 strawberries

 

(28)*(4/14)=(x/28)*(28)

(28)*(4/14)=x

8=x

 

So, there will be 8 cups of milk in the 28 strawberry yogurt.

 

Alternatively, you could notice that 28 is twice 14 and double the milk cup amount, getting you the same answer. Still, it's always best to go through the process rather than take shortcuts, at first.

 

I hope this is helpful for you.