Question

21. A store sells grapes for $1.99 per pound and pineapples for $2.99

each. Jonathan has $25 to buy fruit.
a. If x represents the number of pounds of grapes Jonathan can buy,
write an inequality in one variable that models this scenario.
b. Determine algebraically the maximum number of whole pounds of
grapes he can buy.

Answer 1

the solution to the inequality is x ≤ 12.

Explanation:

a. If x represents the number of pounds of grapes Jonathan can buy, then the total cost of the grapes would be 1.99x. To model the scenario that Jonathan has $25 to buy fruit, we can write the inequality 1.99x + 2.99y ≤ 25, where y is the number of pineapples that Jonathan can buy.

b. To determine the maximum number of whole pounds of grapes that Jonathan can buy, we need to solve the inequality 1.99x ≤ 25 for x. Subtracting 1.99 from both sides gives us x ≤ 12.50. Since Jonathan can only buy whole pounds of grapes, the maximum number of pounds he can buy is 12. Therefore, the solution to the inequality is x ≤ 12.