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Write a step-by-step explanation for this two-part question:

Jack has $210 that he wants to spend on movies and games. Each movie costs $20 and each game costs $15. If Jack wants to purchase at least three games, what is the maximum number of movies he can buy (noninclusive of tax). Can he buy one more game with the change?

Respuesta :

sqdancefan

Answer:

  • 8 movies
  • no more games

Step-by-step explanation:

You want to know the maximum number of $20 movies Jack can buy with $210 if he also buys at least three $15 games, and whether he can buy another game with the change.

Cost of 3 games

The purchase of 3 games at $15 each will take away 3×$15 = $45 from Jack's budget. This will leave him with ...

  $210 -45 = $165

Maximum movies

The amount $165 will buy ...

  $165/($20/movie) = 8.25 movies

The maximum number of movies Jack can buy is 8.

Another game?

Those 8 games will cost 8×$20 = $160, so Jack will get $5 in change.

Jack cannot buy another game with the change.

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