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

Answer:

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

Step-by-step 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 = $\frac{4}{9}$

And, the fraction of cranberry juice in one pint = $\frac{5}{9}$

Now, as we have,

Price of 1 pint of apple juice = 45 cents

Price of $\frac{4}{9}$ pints of apple juice =  $45\times \frac{4}{9}$ = 20 cents

Also, we have,

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

Price of $\frac{5}{9}$ pints of cranberry juice =  $8\times \frac{5}{9}$ = 4.4 cents

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

Answer 2

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

Step-by-step 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 =

And, the fraction of cranberry juice in one pint =

Now, as we have,

Price of 1 pint of apple juice = 45 cents

Price of  pints of apple juice =   = 20 cents

Also, we have,

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

Price of  pints of cranberry juice =   = 4.4 cents

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