Question

A recipe of salad dressing calls for ¼ cup vinegar to ⅔ cup oil. How many cups of oil are needed for each cup of vinegar?

Answer 1

Answer:

$2\frac{2}{3} \ cups$  of oil are needed for each cup of vinegar.

Step-by-step explanation:

Given:

A recipe of salad dressing calls for ¼ cup vinegar to ⅔ cup oil.

Now, to find the cups of oil are needed for each cup of vinegar.

So, we solve by using unitary method:

If  $\frac{1}{4}$ cup of vinegar is needed for oil of $\frac{2}{3}$ cup.

So, 1 cup of vinegar is needed for oil of = $\frac{2}{3} \div\frac{1}{4}$

= $\frac{2}{3}\times 4$  

(the fractions turns reciprocals as the division changes into multiplication)

= $\frac{8}{3}$

= $2\frac{2}{3}$ cups.

Therefore, $2\frac{2}{3} \ cups$  of oil are needed for each cup of vinegar.