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: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 centsPrice of [tex]\frac{4}{9}[/tex] pints of apple juice =  [tex]45\times \frac{4}{9}[/tex] = 20 centsAlso, we have,Price of 1 pint of cranberry juice = $0.08 = 8 centsPrice of [tex]\frac{5}{9}[/tex] pints of cranberry juice =  [tex]8\times \frac{5}{9}[/tex] = 4.4 centsThus, the total price of one pint of mixture = 20 + 4.4 = 24.4 cents.