Question

A drink recipe calls for prune juice and carrot juice. This equation represents the proportional relationship between the number of quarts of prune juice (p) and carrot juice (c) in the recipe. 4p = 12c. Enter the number of quarts of carrot juice used for 1 quart of prune juice.

Answer 1

The number of quarts of carrot juice used is approximately 0.3333.

Explanation:

The proportional relationship between the quarts of prune juice (p) and carrot juice (c) in the recipe is given as;

4p = 12c

Thus for 1 quart of prune juice, the quarts of carrot juice required can be determined by;

i.e p = 1

So that,

4 x 1 = 12c

4 = 12c

c =
`(4)/(12)`

=
`(1)/(3)`

= 0.3333

The number of quarts of carrot juice used is approximately 0.3333.