If she spends her entire budget, Ya Binta can afford 74 peaches and 9 pineapples. She can also just afford 14 peaches and 21 pineapples. The price of peaches is 17 cents. What is the price of pineapples in cents

85 cents

Step-by-step explanation:

Let a represent the price of pineapples

Let p represent the price of peaches

74p + 9a= 14p + 21a

p = 17 cents

Substitute 17 for p

74(17) + 9a = 14(17) + 21a

1258+9a= 238+21a

1258-238= 21a-9a

1020= 12a

a= 1020/12

a= 85

Hence the price of pineapples is 85 cents