Write and solve an equation to find the number of movies you need to buy for the cost ofclub to be the same.

Question

One movie club charges a $100 membership fee and $10 for each movie. Another club charges no membership fee but movies cost $15 each. Write and solve an equation to find the number of movies you need to buy for the cost of club to be the same.

Answer 1

100 + 10*N = 15*N

 

0 = 15*N - 10*N - 100 <--- everything to the right side so coefficients stay positive.

 

0  = 5*N - 100

 

100  = 5*N

 

N = 20

 

 

1st movie club:  100 + 20 * 10 = 100 + 200 = 300

2nd move club: 15 x 20 = 300

 

20 movies, same price