Bunuel wrote:

A worker is paid n dollars per hour for the first 8 hours she works in a day and for every hour after the first 8 she is paid c dollars. If she works 12 hours on Monday, 7 on Tuesday, 11 on Wednesday, 6 on Thursday, and 4 on Friday, What is her average hourly wage for that week?

A. 40n/(40 + c)

B. 8(n + c)

C. 8(n + c)/5

D. (33n + 7c)/40

E. n + c

We'll go for a Precise solution because calculating an average is usually very simple.

12 hours Monday - 8 hours at $n per hour and 4 hours at $c per hour = 8n + 4c

7 hours Tuesday - 7n

11 hours Wednesday - 8n + 3c

6 hours Thursday - 6n

4 hours Friday - 4n

Combined: n*(8+7+8+6+4) + c*(4+3) = 33n + 7c

If we like we can already mark (D) as it is the only answer that fits.

To validate, we'll finish the calculation by calculating the total number of hours worked: 12+7+11+6+4 = 40

(D): (33n + 7c)/40 is, indeed, our answer.

_________________

David

Senior tutor at examPAL

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