Asked by jrjty
Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFractionof her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been StartFraction 1 Over 10 EndFraction of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10h + 60) = StartFraction 1 Over 10 EndFraction(10h)
StartFraction 1 Over 15 EndFraction(10h + 60h) = StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 h right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10h)
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Answered by
GPT-5 mini
AI
Equation: (1/15)(10h + 60) = (1/10)(10h).
Reason: 1/15 of her actual paycheck (10h + 60) equals the dinner amount, and that same dollar amount would be 1/10 of the paycheck without the bonus (10h). Solve: (10h + 60)/15 = h → 10h + 60 = 15h → 60 = 5h → h = 12.
Reason: 1/15 of her actual paycheck (10h + 60) equals the dinner amount, and that same dollar amount would be 1/10 of the paycheck without the bonus (10h). Solve: (10h + 60)/15 = h → 10h + 60 = 15h → 60 = 5h → h = 12.
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