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.

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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.

Mathematics
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Try working backwards.
\(\sf \dfrac{1}{3}\) of the money was spent on books..so divide 18 by 1/3, or multiply by its reciprocal, 3.
Tell me what you get.

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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
x - (2/3) x = 18 can you continue?
IGreen, i divided 18 by 1/3, and i got 6. What do i do now?
IGreen, i divided 18 by 1/3, and i got 6. What do i do now?
18 / 1/3 is not 6 when diving fractions invert the divisor and multiply |dw:1436368531569:dw|
\(\sf 18 \div \dfrac{1}{3} \rightarrow 18 \times 3\)
@Ms.Parris
@iGreen Oh.. okay.. Well, i got 54.. I-Is that it..?
yes
@welshfella But what about the 1/2 thing?
Yes, now do the same thing with 1/2. \(\sf 54 \div \dfrac{1}{2} \rightarrow 54 \times 2\)
@iGreen Okay, i got 108.
Yes, that's our answer.
@iGreen Thank you, iGreen. You helped me a lot.
No problem. \(\sf\huge\color{lime}{Welcome~to~OpenStudy!}\)
@iGreen You're making me blush, oh my gosh. Thank you.
\(\Huge\ddot\smile\)
??? am i missing something here?? i think the answer is 54
startts with 54: - 27 goes into the bank then 1/3 of 27 = 9 goes to buying books so there is 18 dollars left
@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.
Oh..you're right @welshfella I made a mistake..
She spent 50% of it and was left with $10.. 10 * 2 = ?
@iGreen 10 x 2 is 20.
Yes, so she put $20 into the bank. $20 is 1/5 of her original amount, so divide. \(\sf 20 \div \dfrac{1}{5} \rightarrow 20 \times 5\)
umm, 20 is 4/5 of her original amount.
No..4/5 would be 80.
@iGreen 20 x 5 is 100.
Correct, that's our answer.
Oh, wait..I think I made another mistake >.<
@iGreen YAY!
Lol
Yeah, I did..@Venice-Gribbin was correct..20 is 4/5..
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.
Correct^ For some reason, I kept looking at the question all the way at the top..lol.
@iGreen i suggest 7-8 hours of sleep.

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