Question

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 294 tickets from previous visit, and she earns 7 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= 7x + 294

If Meredith needs 448 tickets to exchange for the prize she wants, how many games does Meredith need to play?


A. 106

B. 19

C. 64

D. 22

Answer 1

An easy way to do this is by plugging in all the answers until you get your answer
y=7(106)+294
y=742+294
y=1036
She doesn't need this many tickets to get the one prize, so this is false
y=7(19)+294
y=133+294
y=427
This cannot be true, because you need to have 448 tickets
y=7(64)+294
y=448+294
y=742
This is still over the amount of tickets that she needs, so this isn't true
y=7(22)+294
y=154+294
y=448
This is exactly the number of tickets that she needs, so this is true
So the answer is D

Answer 2

First, plug in 448 for y:

448=7x+294

Secondly, subtract 294 from both sides to isolate x:

154=7x

Divide both sides by 7:

22=x

Refine:

x=22

The answer is D)22