Question

A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?

A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups​

Answer 1

Answer: C. 3 cups

Explanation:

Given: In recipe for 5 people, Required Gulf shrimp =
`1\frac14` cups

Since,
`1\frac14=(5)/(4)`

Required Gulf shrimp =
`\frac54` cups

Then, for 1 people Gulf shrimp required =
`(5)/(4)/ 5`

`=\frac54*(1)/(5)`

`=\frac14` cup

For 12 people, it is required =
`12*\frac14 = 3\text{ cups}`

Hence, 3 cups of gulf shrimp is required for new recipe.

So, correct option is C. 3 cups