A furniture shop sells a table for $150 per piece and a chair for $85 per piece

题目

A furniture shop sells a table for $150 per piece and a chair for $85 per piece. Last fortnight it sold five more tables than chairs. If its total revenue from the sale of only tables and chairs last fortnight was $1925, what was the total number of tables and chairs that the shop sold last fortnight?

选项

解析

$ T = 5 + C $ $ 1,925 = 150*T + 85*C $ $ 1,925 = 150 (5+C) + 85C $ $ 1,925 = 750 + 150C + 85C $ $ 1,175 = 235C $ $ C = 5 $ $ T = 5 + C = 5+5 = 10 $ $ T + C = 15 $ 答案选项C。另一种方法是代入数值计算，通常我会先选选项C，看看是否需要往A、B或D、E调整。如果我们代入$ T + C = 15 $ 已知$ T = C + 5 $ 因此$ 2C + 5 = 15 $ $ C = 5 $ $ 5*85 = 425 $ 且$ 10 *150 = 1,500 $ $ 1,500 + 425 = 1,925 $

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