Question 124103
If Sylvia works overtime she is paid 1 1/2 times as much per hour as usual. after working her usual 40 h last week. she worked and additional 4h overtime. if she made $552 last week find her usual hourly wage
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This can be done with a simple algebra equations:
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Let x = normal
then
1.5x = overtime wage
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40hr reg wage + 4hr overtime wage $552
40x + 4(1.5x) = 552
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40x + 6x= 552; (multiplied 4 * 1.5)
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46x = 552; added the x's
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x = {{{552/46}}}; divide both sides by 46
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x = $12.00 per hr is the regular wage
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We can prove this.  Overtime wage would be 1.5 * 12 = 18.00 per hr
40(12) + 4(18) =
480 + 72 = 552
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Did this make sense to you. Can you do this now?