SAT数学：今日份的练习题(附答案和详解)

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下面我们就一起来看看今日份的SAT数学练习题吧，希望能够帮助到大家。

MathematicsStandard Multiple Choice

Read the following SAT test question and thenclick on a button to select your

answer.

During his busiest week as an origami artist, Natemade 20 origami figures per

hour on weekdays and 30 per hour on the weekend. During this particular week,

Nate made a total of 650 origamifigures by working 5 times as many hours on

weekdays as he did on the weekend. If he workedx hours on the weekdays and y

hours on the weekend, how many total hours did he workduring this week?

A.5

B.20

C.25

D.30

答案：D

解析：

Option D is correct. If Nate worked 5 times as manyhours on weekdays than on

weekends, the firstequation in the system is x=5y. If Nate made 20 origami

figures per hour during weekdays, and 30 origami figures per hour during the

weekend, and 650 origami figures the second equation inthe system is

20x+30y=650.

Next, substitute 5y for x in the second equation and solve for y to find that

the total numberof hours Nate worked on the weekend was 5. Then, substitute 5

for y in the first equationand solve for x to find that the total number of

hours Nate worked on weekdays was 25. Lastly, find the total number of hours

Nate worked during the week by finding x+y=30; that is, Nate worked 30 hours

total.

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