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

`2(2)/(3) \ cups` of oil are needed for each cup of vinegar.

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
`(1)/(4)` cup of vinegar is needed for oil of
`(2)/(3)` cup.

So, 1 cup of vinegar is needed for oil of =
`(2)/(3) /(1)/(4)`

=
`(2)/(3)* 4`

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

=
`(8)/(3)`

=
`2(2)/(3)` cups.

Therefore,
`2(2)/(3) \ cups` of oil are needed for each cup of vinegar.