Math question word problem

Question

Revenues for a movie rental store one Friday night are $1,000 for 427 rentals. The rental fee for a movie is $2 and the fee for video games is $2.50 each. Determine how many of each type are rented that evening.

Answer 1

Let m represent the number of movies rentals and v represent the number of video game rentals. Set up a system of equations to solve:

m + v = 427

2m + 2.50v = 1000

Solve using method of choice. Here is how you solve using substitution.

Solve for m in the first equation:

m + v = 427

m = 427 - v

Substitute m for 427 - v in the second equation to solve for v:

2m + 2.50v = 1000

2 (427- v) + 2.50v = 1000

854 - 2v + 2.50v = 1000

854 + 0.50v =146

v = 292

So the number of video games is 492. Now we can use this to solve for number of movie tickets:

m = 427 - v

m = 427 - 292

m = 135

The number of movie tickets is 135 and the number of video games is 492.