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after spending 1/3 of her money on a TV and 1/4 of it on a game console, cindy still had$600 left. how much was game consoles

Respuesta :

$360 on game console

$480 on tv

$1440 before spending money

x - 1/3x - 1/4x = $600

12/12x - 4/12x - 3/12x = $600

5/12x = $600

x = (12/5)($600)

x = $1440

Game Console = (1/4)(1440) = $360

The correct answer is $360

How to solve the problem?

Let the total money be $x

1/3 of her money is spent on TV (given)

1/4 of it on a game console (given)

Console  

∴x/4 money on game console

Money left =$600

Therefore , x-x/3-x/4=600

[tex]\frac{12x-4x-3x}{12} = 600[/tex]

Therefore, 5x = 7200

x = $1440

Money spent on game console = x/4 = 1140/4 = $360

Hence The game console is $360

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