Answer:
[tex]2\frac{2}{3} \ cups[/tex] 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 [tex]\frac{1}{4}[/tex] cup of vinegar is needed for oil of [tex]\frac{2}{3}[/tex] cup.
So, 1 cup of vinegar is needed for oil of = [tex]\frac{2}{3} \div\frac{1}{4}[/tex]
= [tex]\frac{2}{3}\times 4[/tex]
(the fractions turns reciprocals as the division changes into multiplication)
= [tex]\frac{8}{3}[/tex]
= [tex]2\frac{2}{3}[/tex] cups.
Therefore, [tex]2\frac{2}{3} \ cups[/tex] of oil are needed for each cup of vinegar.
