Respuesta :

Let

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

we know that

[tex]80\% =\frac{80}{100}=0.80[/tex]

[tex]0.80x=72\$[/tex] ------> equation that represent the situation

solve for x

Divide by [tex]0.80[/tex] both sides

[tex]0.80x/0.80=72\$/0.80[/tex]

[tex]x=72\$/0.80[/tex]

[tex]x=90\$[/tex]

therefore

the answer is

[tex]90\$[/tex]

Answer:

He made $90 last week

Step-by-step 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

[tex]\frac{80x}{100}[/tex]  = $72

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

[tex]\frac{4x}{5}[/tex]  = $72

Multiply both-side of the equation by 5

[tex]\frac{4x}{5}[/tex]  x 5 = $72 x 5

4x =360

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

[tex]\frac{4x}{4} = \frac{360}{4}[/tex]

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