Question

Apple juice and cranberry juice have been mixed in the ratio 4:5. If the price of apple juice is 45 cents per pint and the price of cranberry juice is $.08 per pint, what should the price of one pint of the mixture be?

Answer 1

$0.2444444444444

Explanation:

Apple ($0.45/pint) and Cranberry ($0.08/pint) juices are mixed in the ratio of 4:5 to create a mixture.

4 pints of Apple (costing 4 x $0.45 = $1.80) and 5 pints of Cranberry (costing 5 * $0.08 = $0.40) are combined to produce 9 pints of mixture.

Therefore, 9 pints of mixture costs $1.80 + $0.40 = $2.20

Hence, 1 pint of mixture costs $2.20 / 9 = $0.244444 = 24 and 4/9 cents

Answer 2

The ratio of apple and cranberry juice is 4:5
The price of 1 pint of apple juice is $0.45
The price of 1 pint of cranberry juice is $0.08
from the ratio given, the price amount of apple juice in the mixture will be:
4/5×0.45=$0.36
the price amount of cranberry juice in the mixture will be:
1/5×0.08=$0.016
the price of the mixture will be given by:
0.36+0.016
=$0.376