Question

a store sells grapes for $1.99 per pound, strawberries for $2.50 per pound, and pineapples for $2.99 each. jonathan bas $25 to buy fruit. he plans to buy 2 more pounds of strawberries than grapes. he also plans to buy 2 pineapples. if x represents the number of pounds of grapes, write an inequality in one variable that models this scenario. determine algebraically the maximum number of whole pounds of grapes he can buy.

Answer 1

Jonathan can buy a maximum of 3 whole pounds of grapes with his $25, while also purchasing 2 more pounds of strawberries than grapes and 2 pineapples.

Step-by-step explanation:

The student's scenario can be modeled with the following inequality:

1.99x + 2.50(x + 2) + 2(2.99) ≤ 25

Where x represents the number of pounds of grapes Jonathan plans to buy. To find the maximum number of whole pounds of grapes he can purchase, we solve for x:

1.99x + 2.50(x + 2) + 5.98 ≤ 25

1.99x + 2.50x + 5.00 + 5.98 ≤ 25

4.49x + 10.98 ≤ 25

4.49x ≤ 25 - 10.98

4.49x ≤ 14.02

x ≤ 14.02 / 4.49

x ≤ 3.12

Thus, Jonathan can buy a maximum of 3 whole pounds of grapes, since we are considering whole pounds only.