Question

A recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B. You use 3 cups of ingredient A. How many cups of ingredient B do you​ need?

Answer 1

8.4cups

Explanation:

Given:

recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B.

By using the ratio of both ingredients

Let X= amount of ingredient A in cups

Let Y= amount of ingredient B in cups

We can interpret like this

(X/Y) = (1/2 cup)/(1 2/5 cups)

1 2/5 cups = 7/5 cups

(X/Y) = (1/2)/(7/5)

(7/5)X= (1/2)Y

We can find the value of Y

Y= 2*(7/5)X

Y = (14/5)X

You use 3 cups of ingredient A. Then X= 3cups, then Y=

Y = (14/5)× 3

Y=8.4cups

There are 8.4cups cups of ingredient B do you​ needed