Question

4. Chris and Keith went to a carnival. Chris started with 80 tickets and spent x tickets at the carnival, Keith started with 140 tickets and spent 2x tickets at the carnival. At the end of the night, they had the same number of tickets left over. How many tickets did Chris spend at the carnival?​

Answer 1

Answer: Chris spent 60 tickets at the carnival.

Explanation:

At the end of the night, both Chris and Keith had the same amount of tickets, so:

80 - x = 140 - 2x

Now, solve the equation. Start by bringing the -2x to the left side.

80 - x + 2x = 140

Bring the 80 to the right side so the variables are isolated.

-x + 2x = 60

Add like terms.

x = 60

Check the work.

Chris had 80, spent 60, so had 20 left. --> 80 - 60 = 20

Keith had 140, spent 120 (60 *2), so also had 20 left. --> 140 - 120 = 20

So, Chris spent 60 tickets at the carnival.

Answer 2

Answer: x=20

Explanation:

3x+80=140

3x=60

x=20