Question

As a valet at the mall, Davis works 8-hour shifts. He earns $4 per hour and keeps 60% of his tip money. How much does Davis need to be tipped so that he takes home exactly $100.00, before taxes are deducted, per shift?

Answer 1

He must earn `$113.34` in tips.

Explanation:

For each shift Davis will be paid `$4xx 8 = $32` in wages.

In order to make `$100` altogether, he needs to make up the difference in tips, but he only keeps `60%` of the tips.

Let the total amount of his tips be `x` and write an equation:

'Wages + `60%` of the tips equals `$100`'

`32 + 60% xx x = 100" "larr" "` solve for `x`

`color(white)(........)60/100 xx x = 100-32`

`color(white)(.....................)x = 68 xx 100/60`

`x= $113.34`