Answer:
![\boxed {\tt 20 \ movies}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Ctt%2020%20%5C%20movies%7D)
Step-by-step explanation:
The equation given represents the number of movies,
, 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
. To solve for
we must isolate it on one side of the equation.
![1.5r+15=2.25r](https://tex.z-dn.net/?f=1.5r%2B15%3D2.25r)
First, let's get all the terms with a variable on one side. Subtract 1.5r from both sides of the equation.
![1.5r-1.5r+15=2.25r-1.5r](https://tex.z-dn.net/?f=1.5r-1.5r%2B15%3D2.25r-1.5r)
![15=2.25r-1.5r](https://tex.z-dn.net/?f=15%3D2.25r-1.5r)
![15=0.75r](https://tex.z-dn.net/?f=15%3D0.75r)
0.75 and
are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 0.75
![\frac{15}{0.75}=\frac{0.75r}{0.75}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B0.75%7D%3D%5Cfrac%7B0.75r%7D%7B0.75%7D)
![\frac{15}{0.75} =r](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B0.75%7D%20%3Dr)
![20=r](https://tex.z-dn.net/?f=20%3Dr)
20 movies must be rented to spend the same amount at each store.