The financial aid office of a certain college has agreed to provide a $9,000 grant to every student whose total family income (not including the grant) is $22,500 or less

题目

The financial aid office of a certain college has agreed to provide a $9,000 grant to every student whose total family income (not including the grant) is $22,500 or less. However, for every $40 in family income above this figure, the grant is reduced by $10. If Cedric's award is reduced 40%, what is his family income?

选项

$26,100

$27,000

$31,500

$36,900

$ 44,100

解析

每名学生的总助学金 = 9000美元已知塞德里克的助学金被削减了40%，即3600美元（9000×0.40）。收入每超过22500美元40美元，助学金就会被削减10美元。因此，10美元的削减次数 = 3600÷10 = 360次由于每次削减对应40美元的额外收入，额外收入 = 360×40 = 14400美元因此，塞德里克的总收入 = 22500 + 14400 = 36900美元所以，选项D。

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