Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 250 tickets from a previous visit, and she earns 6 tickets for each game she plays. In the equation below, x represents the number of games Meredith plays, and y represents the number of tickets she needs for the prize.

Question

y=6x+250
If Meredith needs 358 tickets to exchange for the prize she wants, how many games does Meredith need to play?

Answer 1

To find out how many games Meredith needs to play to reach 358 tickets, we can use the equation given:

\[ y = 6x + 250 \]

where \( y \) is the total number of tickets needed (358) and \( x \) is the number of games played.

We can substitute \( y \) with 358:

\[ 358 = 6x + 250 \]

Next, we will solve for \( x \):

1. Subtract 250 from both sides:

\[ 358 - 250 = 6x \]

\[ 108 = 6x \]

2. Now, divide both sides by 6:

\[ x = \frac{108}{6} \]

\[ x = 18 \]

Therefore, Meredith needs to play 18 games to earn enough tickets for the prize.