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 = [tex]\frac{4}{9}[/tex]
And, the fraction of cranberry juice in one pint = [tex]\frac{5}{9}[/tex]
Now, as we have,
Price of 1 pint of apple juice = 45 cents
Price of [tex]\frac{4}{9}[/tex] pints of apple juice = [tex]45\times \frac{4}{9}[/tex] = 20 cents
Also, we have,
Price of 1 pint of cranberry juice = $0.08 = 8 cents
Price of [tex]\frac{5}{9}[/tex] pints of cranberry juice = [tex]8\times \frac{5}{9}[/tex] = 4.4 cents
Thus, the total price of one pint of mixture = 20 + 4.4 = 24.4 cents.