Question

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?

a. 1/12
b. 3/4
c. 11/12
d. 1 1/3

Answer 1

d) 1 1/3

(1/3) x reciprocal of 1/4 so (4/1) = 4/3 which simplifies to 1 1/3

Answer 2

`\bf \begin{array}{ccllll} milk&water\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ (1)/(3)&(1)/(4)\\ 1&x \end{array}\implies \cfrac{(1)/(3)}{1}=\cfrac{(1)/(4)}{x}\implies \cfrac{(1)/(3)}{(1)/(1)}=\cfrac{(1)/(4)}{(x)/(1)} \\\\\\ \cfrac{1}{3}\cdot \cfrac{1}{1}=\cfrac{1}{4}\cdot \cfrac{1}{x}\implies \cfrac{1}{3}=\cfrac{1}{4x}\implies 4x=3\implies x=\cfrac{3}{4}`