Question

A movie club charges a one-time membership fee of $25 it allows members to purchase movies for $7 each another club does not charge a membership fee and sells movies for $12 each how many movies must a member purchase for the total cost of the two clubs to be equal?

Answer 1

Answer:

Step-by-step explanation:

Given: A movie club, one time fee

=$25, movies =$7

2nd club,

$0 fee, movies =$12

Cost equations for each club:

club 1:

C1=25+7M

club 2:

C2=12M

For the clubs cost to be equal:

C1=C2

25+7M=12M

Subtract

7M

from both sides:

25=5M

Divide by

5: M=25%5=5

5 movies

CHECK:

C1=25+7⋅5=25+35=$60

C2=12⋅5=$60