Question

Luis made 80% of what he made last week.If he made 72$ this week,how much did he make last week

Answer 1

He made $90 last week

Explanation:

Since we are told that Louis made 80% of what he made last week and since Louise made $72 this week, to get how much he made this week, we will follow the step below:

let x be the amount he made last week

80% of x = $72

80% × x = $72

`(80x)/(100)` = $72

the fraction 80x/100 can be reduced to 4x/5. Hence;

`(4x)/(5)` = $72

Multiply both-side of the equation by 5

`(4x)/(5)` x 5 = $72 x 5

4x =360

Divide both-side of the equation by 4 to get the value of x

`(4x)/(4) = (360)/(4)`

On the left-hand side of the equation 4 will cancel-out 4 while on the right-hand side of the equation 360 will be divided by 4

x = $90

Therefore he made $90 last week

Answer 2

Let

x--------> the amount in dollars that Luis make last week

we know that

`80\% =(80)/(100)=0.80`

`0.80x=72\$` ------> equation that represent the situation

solve for x

Divide by
`0.80` both sides

`0.80x/0.80=72\$/0.80`

`x=72\$/0.80`

`x=90\$`

therefore

the answer is

`90\$`