Question

A recipe for chilie uses 2 1/3 cups of beans. Keith is making 1 1/2 times the recipe. Which equation helps keith find how many cups of beans he needs?

Answer 1

`2(1)/(3) * 1(1)/(2) = 3(1)/(2)`

Explanation:

Given that a recipe of chilie requires
`2(1)/(3)` cups of beans, to make
`1(1)/(2)` times the recipe, Keith would need x cups of beans.

Thus:

1 recipe =
`2(1)/(3)` cups of beans

`1(1)/(2)` of the recipe = x cups of beans

`x*1 = 2(1)/(3) * 1(1)/(2)`

`x = (7)/(3) * (3)/(2)`

`x = (7)/(2)`

`x = 3(1)/(2)`

Therefore the equation that helps Keith find how many cups of beans he needs is:
`2(1)/(3) * 1(1)/(2) = 3(1)/(2)`