Question

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?

Answer 1

Let h be hours worked. Actual dinner spending = (1/15)(10h + 60). Without bonus it would be (1/10)(10h). So
(1/15)(10h + 60) = (1/10)(10h),
which simplifies to (10h + 60)/15 = h (giving h = 12).