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