# algebra

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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 -

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 -

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