A woman spent two-thirds of her money. She lost two-thirds of the remainder and then had $8 left. With how m
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A woman spent two-thirds of her money. She lost two-thirds of the remainder and then had $8 left. With how m

[From: ] [author: ] [Date: 12-02-29] [Hit: ]
2/3 spent, so 1/3 remains.She lost 2/3 of 1/3. Of=times.Express what she lost as 2/3 x 1/3 = 2/9.An equivalent fraction to 1/3 is 3/9.......
I need to know how to figure this question out, not just the answer. Thanks

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Without really knowing what the question is at the end of the problem, here goes:
2/3 spent, so 1/3 remains.
She lost 2/3 of 1/3. Of=times.
Express what she lost as 2/3 x 1/3 = 2/9.
An equivalent fraction to 1/3 is 3/9. She lost 2/9, so only 1/9 of her original amount is left, and that's $8.00.
The denominator 9 tells you that there are 9 equal parts in the whole. So, 9x8=72
She had $72.00 to start.
Hope that helps!

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The first answer has the correct value but confusing working out. The simple version is:

$8 dollers is 1/3 of the remaining 1/3 of her money so to work out the total first of all you multiply the remaining $8 by 3, which gives you 1/3 of the total she started with, which is $24. Then you know what 1/3 of the original total was. Then you multiply this figure by 3 again to give the original total, $72.

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Well, you would multiply 8 by three, cthat would be $24, which was how much she had AFTER she spent her money. Recap:She spent $, now she has $24 left. So now the equation is 24/x (24 over x)
equals one third. To solve this, you would multiply 24 by 3, and you would get $72-the answr

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8 / (1/3) = 24

24 / (1/3) = 72

She started with $72

Because she spent 2/3 of here money each time, she was left with 1/3. You divide a number by 1/3 to find what it is 1/3 of. So you just divide by 1/3 twice.

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x(1/3)(1/3) = 8

x/9 = 8

x = 72

if she spent 2/3 she had 1/3 left.
if she lost 2/3 of that she had 1/3 left
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