Jose put 1/2 of his money in the bank. He spent 1/3 of his remaining money on books. He has $18 left. How much did he start with? Show work, please.

- anonymous

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- iGreen

Try working backwards.

- iGreen

\(\sf \dfrac{1}{3}\) of the money was spent on books..so divide 18 by 1/3, or multiply by its reciprocal, 3.

- iGreen

Tell me what you get.

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## More answers

- welshfella

let him start with x dollars
1/2 in bank = ( 1/2) x
1/3 of the remaining = (1/3) * (1/2) * x = 1/6 x
so
x - ( 1/2) x - (1/6)x = 18
solve for x

- welshfella

x - (2/3) x = 18
can you continue?

- anonymous

IGreen, i divided 18 by 1/3, and i got 6. What do i do now?

- anonymous

IGreen, i divided 18 by 1/3, and i got 6. What do i do now?

- welshfella

18 / 1/3 is not 6
when diving fractions invert the divisor and multiply
|dw:1436368531569:dw|

- iGreen

\(\sf 18 \div \dfrac{1}{3} \rightarrow 18 \times 3\)

- iGreen

@Ms.Parris

- anonymous

@iGreen Oh.. okay.. Well, i got 54.. I-Is that it..?

- welshfella

yes

- anonymous

@welshfella But what about the 1/2 thing?

- iGreen

Yes, now do the same thing with 1/2.
\(\sf 54 \div \dfrac{1}{2} \rightarrow 54 \times 2\)

- anonymous

@iGreen Okay, i got 108.

- iGreen

Yes, that's our answer.

- anonymous

@iGreen Thank you, iGreen. You helped me a lot.

- iGreen

No problem.
\(\sf\huge\color{lime}{Welcome~to~OpenStudy!}\)

- anonymous

@iGreen You're making me blush, oh my gosh. Thank you.

- iGreen

\(\Huge\ddot\smile\)

- welshfella

??? am i missing something here??
i think the answer is 54

- welshfella

startts with 54: - 27 goes into the bank
then 1/3 of 27 = 9 goes to buying books
so there is 18 dollars left

- anonymous

@iGreen I need your help again. Maria put 1/5 of her money in the bank. She spent 50% of her remaining money on books. She has $10 left. How much money did she start with? I tried doing it but i failed. ._. Please help.

- iGreen

Oh..you're right @welshfella I made a mistake..

- iGreen

She spent 50% of it and was left with $10..
10 * 2 = ?

- anonymous

@iGreen 10 x 2 is 20.

- iGreen

Yes, so she put $20 into the bank.
$20 is 1/5 of her original amount, so divide.
\(\sf 20 \div \dfrac{1}{5} \rightarrow 20 \times 5\)

- anonymous

umm, 20 is 4/5 of her original amount.

- iGreen

No..4/5 would be 80.

- anonymous

@iGreen 20 x 5 is 100.

- iGreen

Correct, that's our answer.

- iGreen

Oh, wait..I think I made another mistake >.<

- anonymous

@iGreen YAY!

- iGreen

Lol

- iGreen

Yeah, I did..@Venice-Gribbin was correct..20 is 4/5..

- anonymous

Maria put 1/5 of her money in the bank. She spent 50% of her remaining money on books. She has $10 left. How much money did she start with?
if she puts away 1/5th of her moneyshe has 4/5th's of her original amount. and spends 50 percent of it to be left with 10 dollars, so 10 is 2/5th's of the original amount. 10/2 is 5 and 5*5 is 25.
Maria's original amount was 25 dollars.

- iGreen

Correct^
For some reason, I kept looking at the question all the way at the top..lol.

- anonymous

@iGreen i suggest 7-8 hours of sleep.

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