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?

A recipe for chilie uses 2 13 cups of beans Keith is making 1 12 times the recipe Which equation helps keith find how many cups of beans he needs class=

Respuesta :

Answer:

[tex] 2\frac{1}{3} * 1\frac{1}{2} = 3\frac{1}{2} [/tex]

Step-by-step explanation:

Given that a recipe of chilie requires [tex] 2\frac{1}{3} [/tex] cups of beans, to make [tex] 1\frac{1}{2} [/tex] times the recipe, Keith would need x cups of beans.

Thus:

1 recipe = [tex] 2\frac{1}{3} [/tex] cups of beans

[tex] 1\frac{1}{2} [/tex] of the recipe = x cups of beans

[tex] x*1 = 2\frac{1}{3} * 1\frac{1}{2} [/tex]

[tex] x = \frac{7}{3} * \frac{3}{2} [/tex]

[tex] x = \frac{7}{2} [/tex]

[tex] x = 3\frac{1}{2} [/tex]

Therefore the equation that helps Keith find how many cups of beans he needs is: [tex] 2\frac{1}{3} * 1\frac{1}{2} = 3\frac{1}{2} [/tex]