Question

A pancake recipe asks for two and two thirds times as much milk as flour. If four and two thirds cups of milk is used, what quantity of flour would then be needed, according to the recipe?

Answer 1

Given:

A pancake recipe asks for two and two-thirds times as much milk as flour.

Required:

We need to find the quantity of flour that would then be needed If four and two-thirds cups of milk are used.

Explanation:

Let x be the amount of flour needed.

$2+\frac{2}{3}=\frac{6+2}{3}=\frac{8}{3}$$\frac{8x}{3}=Amount\text{ of milk needed}$$\frac{8x}{3}=3+\frac{1}{3}$$\frac{8x}{3}=\frac{9+1}{3}$$\frac{8x}{3}=\frac{10}{3}$$8x=10$

$\frac{8x}{8}=\frac{10}{8}$$x=\frac{10}{8}$$x=1+\frac{2}{8}$$x=1+\frac{1}{4}$

Final answer:

The amount of flour needed was 1 and 1/4 cups.