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

The total price of one pint of mixture is 24.4 cents.

Explanation:

We are given that the ratio of apple juice to cranberry juice is 4 : 5.

So, the fraction of apple juice in one pint =
`(4)/(9)`

And, the fraction of cranberry juice in one pint =
`(5)/(9)`

Now, as we have,

Price of 1 pint of apple juice = 45 cents

Price of
`(4)/(9)` pints of apple juice =
`45* (4)/(9)` = 20 cents

Also, we have,

Price of 1 pint of cranberry juice = $0.08 = 8 cents

Price of
`(5)/(9)` pints of cranberry juice =
`8* (5)/(9)` = 4.4 cents

Thus, the total price of one pint of mixture = 20 + 4.4 = 24.4 cents.