Jessica R.

asked • 01/27/16

Otto spent 3/4 of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?

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Michael B.

You can also GE your answer by dividing what he had by 3 because it is made up if 3/4 then add that number to 48 get 4/4. So 48 divided by 3 is 16. Then 48 + 16 gives you 64, the amount he had before he spent 3/4 of his money.
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01/27/16

Gabriel R.

3/4 is also .75
If 48 is .75 of what he had, just divide:
48/.75 = 64
He had 64$
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01/27/16

1 Expert Answer

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William D. answered • 01/27/16

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If x is the amount of money Otto originally had and $48 is 3/4 of that original amount, set up the equation as follows
¾*x = 48 and solve for x.  
Multiply both side by 4/3 to get x = 4/3*(48) = (4*48)/3 = 64
Otto had $64 before he bought the video game.
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Michael B.

Hi William . I did the math a different way . If used in similar problems would the way I did it always be correct or is this a lucky case where it happened to work out. Please let me know I would love to get your opinion on this topic. Thanks
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01/27/16

William D.

Michael-
There is only one correct answer but many ways to derive it, including yours.  I just used a more explicit approach, basically working through each step, because I thought it would be clearer to see.
Thanks.
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01/27/16

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