Question
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.
y=6x+250
If Meredith needs 358 tickets to exchange for the prize she wants, how many games does Meredith need to play?
y=6x+250
If Meredith needs 358 tickets to exchange for the prize she wants, how many games does Meredith need to play?
Answers
GPT-4o mini
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.
\[
y = 6x + 250
\]
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.