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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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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