Posted by **lorie** on Saturday, January 15, 2011 at 12:56pm.

Sally works at a grocery store. In one week she earned $390 for working 47 hours, of which 7 hours were overtime. The next week she earned $416 for working 50 hours, of which 8 hours were overtime. What is Sally's HOURLY OVERTIME rate in dollars per hour? This question was answered as $8, but I don't think that can be right. Please help.

- algebra -
**helper**, Saturday, January 15, 2011 at 2:14pm
I made the correction below

let her regular rate be $x per hour

let her overtime rate be $y per hour

first week: 40x + 7y = 390

2nd week: 42x + 8y = 416

1st equat x 8 ---> 320x +56y = 3120

2nd equt x 7 ---> 294x + 56y = 2912

subtract

26x = 208

x = 8

substitute x = 8

40x + 7y = 390

40(8) + 7y = 390

320 + 7y = 390

7y = 70

y = 10

REINY had a typo, she had y = 8, when it should have been x.

- algebra -
**Henry**, Saturday, January 15, 2011 at 9:09pm
Lorie, check your 1-14,5:01pm post.

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