If Bob produces 36 or fewer items in a week, he is paid x dollars per item. If Bob produces more than 36 items in a week, he is paid x dollars per item for the first 36 items and 1.5 times that amount for each additional item. How many items did Bob produce last week?

(1) Last week Bob was paid a total of $480 for the items that he produced that week. (2) This week Bob produced 2 items more than last week and was paid a total of$510 for the items that he produced this week.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

##### 考题讲解

n≤36时   nx=480
n>36时   36x+(n-36)1.5x=480
Bob这周做了n+2件，同样
n+2≤36时   (n+2x)=510
n+2>36时   36x+(n+2-36)1.5x=510

n≤34时 上周nx=480   这周(n+2x)=510   求解得n=32
34<n≤36时  上周nx=480  这周36x+(n+2-36)1.5x=510  求解得n=~$\frac{240}{7}$~，不是一个整数，不存在。
n>36时 上周36x+(n-36)1.5x=480 这周36x+(n+2-36)1.5x=510 求解得n=44