Question

He recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?

A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.

Answer 1

24 times 9.75 = $234

Explanation:

Answer 2

It would cost $39 to serve 24 people

Explanation:

If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as

6 people - $9.75,

24 people - $x.

Or as proportion,

6/24=9.75/x

Find x:

6·× =9.75·24,

x=9.75·24/6=9.75·4=39

Answer: It would cost $39 to serve 24 people