Question

A video store changes a monthly membership fee of $7.50 but the charge to rent each movie is only $1.00 per movie another store has no membership fee but it cost $2.50 to rent each movie how many movies need to be ready each month for the total fees to be the same from either company

Answer 1

5 movies

Explanation:

Let x denotes number of movies that need to be ready each month for the total fees to be the same from either company.

Monthly membership fee charged by a video store = $7.50

Amount charged to rent each movie = $1.00

So,

total amount charged by the first store =
`7.50+(1)x=7.50+x`

Monthly membership fee charged by another video store = $0

Amount charged to rent each movie = $2.50

So,

total amount charged by another store =
`0+2.50(x)=2.50x`

To find number of movies that need to be ready each month for the total fees to be the same from either company,

solve
`7.50+x=2.50x`

`7.50+x=2.50x\\7.50=2.50x-x\\7.50=1.50x\\x=(7.50)/(1.50)\\ =5`