Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

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Beautiful

Mathematics

18 January, 17:37

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

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Diya Ross · Answer 1

Let h be the number of hours.

If she earned the bonus so the dinner would cost 1/15 (10. h + 60)

if she didn't get the bonus, then the diner would cost 1/10 (10. h)

However in both cases she paid the same amount, hence:

1/15 (10. h + 60) = 1/10 (10. h). This is the equation

Solve h to find the number of hours : h = 180