Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 255 tickets from a previous visit, and she earns 6 tickets for each game she plays. If Meredith needs 375 tickets to exchange for the prize she wants, how many games does Meredith need to play?

Respuesta :

Answer:

20 games.

Step-by-step explanation:

Given:

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize.

She has 255 tickets from a previous visit.

She earns 6 tickets for each game she plays.

Meredith needs 375 tickets to exchange for the prize she wants.

Question asked:

How many games does Meredith need to play?

Solution:

Total tickets needed to exchange for the prize = 375

Meredith already have = 255 tickets

More tickets needed = 375 - 255 = 120 tickets

By unitary method:

She earns 6 tickets by playing = 1 game

She earns 1 ticket by playing = [tex]\frac{1}{6}[/tex] game

She earns 120 tickets by playing =  [tex]\frac{1}{6}\times120=\frac{120}{6} =20\ games[/tex]

Therefore, she needs to play 20 games to earn 120 more tickets.