Question

A group of 5 people paid for general admission to the museum. Some of the people also bought movie tickets. The whole group spent a total of $108 for general admission tickets and movie tickets. Write and equation that can used to find x, the number of movie tickets purchased.

Answer 1

5 k + x m = 108 is the needed equation.

k : Cost of 1 general admission ticket

x : Number of movie tickets purchased.

m : cost of 1 movie ticket.

Explanation:

The number of people who visited the museum = 5

The total amount spent on general admission and movie tickets = $108

x : the number of movie tickets purchased

Let us assume the cost of each ticket = $ m

So, the cost of x tickets = x ( cost of 1 ticket) = x ( $m) = m x

Also, the general admission amount for 1 person = $ k

⇒ General admission amount for 5 people = 5 x ( $k) = 5 k

So, according to the question:

The general admission + Amount + cost of x movie tickets = $ 108

$ 5 k + x m = 108

So, here: 5 k + x m = 108

k: Cost of 1 general admission ticket

x: Number of movie tickets purchased.

m : cost p=of 1 movie ticket.

Hence, the needed equation is 5 k + x m = 108.