Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?
Correct answer: B. 6
- A. 5
- B. 6
- C. 7
- D. 8
Explanation
The correct answer is 6. It's given that apples cost $0.65 each and oranges cost $0.75 each. If x is the number of apples, the cost of buying x apples is 0.65x dollars. If y is the number of oranges, the cost of buying y oranges is 0.75y dollars. Lynne has $8.00 to spend; therefore, the inequality for the number of apples and oranges Lynne can buy is 0.65x + 0.75y ≤ 8.00. Since Lynne bought 5 apples, x = 5. Substituting 5 for x yields 0.65(5) + 0.75y ≤ 8.00, which can be rewritten as 3.25 + 0.75y ≤ 8.00. Subtracting 3.25 from both sides of the inequality yields 0.75y ≤ 4.75. Dividing both sides of this inequality by 0.75 yields y ≤ 6.33. Therefore, the maximum number of whole oranges Lynne can buy is 6.
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