Question

The equation 1.5r+15=2.25r represents the number r of movies you must rent to spend the same amount at each movie store.how many movies must you rent to spend the same amount at each movie store?

Answer 1

`\boxed {\tt 20 \ movies}`

Explanation:

The equation given represents the number of movies,
`r`, 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
`r`. To solve for
`r`we must isolate it on one side of the equation.

`1.5r+15=2.25r`

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`

`15=2.25r-1.5r`

`15=0.75r`

0.75 and
`r` are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 0.75

`(15)/(0.75)=(0.75r)/(0.75)`

`(15)/(0.75) =r`

`20=r`

20 movies must be rented to spend the same amount at each store.