Question

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

Answer 1

Equation that can be used to find h is 1/15*(10h+60)=1/10*(10h)

Lindsay worked for 12 hours last week

Explanation:

Complete question below:

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?

Let

y= cost of the dinner with friends

h=the number of hours Lindsay worked last week

y=1/15*(10h+60) (1)

y=1/10*(10h) (2)

Equate (1) and (2)

1/15*(10h+60)=1/10*(10h)..........equation used to find h

10h+60/15=10h/10

Cross product

(10h+60)10=15(10h)

100h+600=150h

600=150h-100h

600=50h

Divide both sides by 50

600/50=50h/50

12=h

Therefore, Lindsay worked for 12 hours last week