Question

A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spent a total of $57.50. Write and solve an equation to determine how many tickets were bought. Let t represent the number of tickets.

Answer 1

Equation:
`8.5t+6.5=57.5`

Solution:
`t=6`

Explanation:

Let be "t" the number of movie tickets bought by the group of friends.

According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

`8.5t`

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

`8.5t+6.5`

Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

`8.5t+6.5=57.5`

Finally, you can solve for "t" in order to find the solution of the equation. This is:

`8.5t=57.5-6.5\\\\t=(51)/(8.5)\\\\t=6`