Question

A recipe for shepherd's pie uses 3 cups potatoes, 2 cups carrots, 1 cup onions, 1 ½ cups ground round to create enough for 6 people. If you need to feel 16 people, how many cups of carrots do you need? Use scale factors and ratios to solve this problem. Remember to show your work.

Answer 1

`5(1)/(3)` cups of carrot.

Explanation:

Let's set up proportional equation.

6 people need 2 cups of carrots

Let 16 people need x cups of carrots.

We could form ratio for number of people to cups of carrot used as

6:2

16:x

So, proportional equation would be

`(2)/(6) =(x)/(16)`

Cross multiply

32=6 x

Divide both sides by 6.

x=
`(32)/(6)`

Divide to get mixed number

x=5
`(2)/(6)`

Simplify the fraction

x=
`5(1)/(3)` cups of carrot.