Question

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?

Answer 1

a

Explanation:

Answer 2

Let

y--------> cost of the dinner with friends

h--------> the number of hours Lindsay worked last week

we know that

`y =(1)/(15) *( 10h+60)` ------> equation
`1`

`y =(1)/(10) *( 10h)` ------> equation
`2`

equate equation
`1` and equation
`2`

`(1)/(15) *( 10h+60)=(1)/(10) *( 10h)\\\\ Multiply\ by\ 150\ both\ sides\\\\ 10*(10h+60)=15*10h\\\\ 100h+600=150h\\\\150h-100h=600\\\\ h=(600)/(50)`

`h= 12\ hours`

therefore

the answer is

Lindsay worked
`12\ hours` last week

The equation that can be used to find the number of hours is

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