Answer:
[tex]\boxed {\tt 20 \ movies}[/tex]
Step-by-step explanation:
The equation given represents the number of movies, [tex]r[/tex], that must be rented to spend the same amount at each store.
We want to find the number of movies, so we should solve for [tex]r[/tex]. To solve for [tex]r[/tex]we must isolate it on one side of the equation.
[tex]1.5r+15=2.25r[/tex]
First, let's get all the terms with a variable on one side. Subtract 1.5r from both sides of the equation.
[tex]1.5r-1.5r+15=2.25r-1.5r[/tex]
[tex]15=2.25r-1.5r[/tex]
[tex]15=0.75r[/tex]
0.75 and [tex]r[/tex] are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 0.75
[tex]\frac{15}{0.75}=\frac{0.75r}{0.75}[/tex]
[tex]\frac{15}{0.75} =r[/tex]
[tex]20=r[/tex]
20 movies must be rented to spend the same amount at each store.
