## anonymous one year ago 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. • This Question is Closed 1. iGreen Try working backwards. 2. iGreen $$\sf \dfrac{1}{3}$$ of the money was spent on books..so divide 18 by 1/3, or multiply by its reciprocal, 3. 3. iGreen Tell me what you get. 4. 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 5. welshfella x - (2/3) x = 18 can you continue? 6. anonymous IGreen, i divided 18 by 1/3, and i got 6. What do i do now? 7. anonymous IGreen, i divided 18 by 1/3, and i got 6. What do i do now? 8. welshfella 18 / 1/3 is not 6 when diving fractions invert the divisor and multiply |dw:1436368531569:dw| 9. iGreen $$\sf 18 \div \dfrac{1}{3} \rightarrow 18 \times 3$$ 10. iGreen @Ms.Parris 11. anonymous @iGreen Oh.. okay.. Well, i got 54.. I-Is that it..? 12. welshfella yes 13. anonymous @welshfella But what about the 1/2 thing? 14. iGreen Yes, now do the same thing with 1/2. $$\sf 54 \div \dfrac{1}{2} \rightarrow 54 \times 2$$ 15. anonymous @iGreen Okay, i got 108. 16. iGreen Yes, that's our answer. 17. anonymous @iGreen Thank you, iGreen. You helped me a lot. 18. iGreen No problem. $$\sf\huge\color{lime}{Welcome~to~OpenStudy!}$$ 19. anonymous @iGreen You're making me blush, oh my gosh. Thank you. 20. iGreen $$\Huge\ddot\smile$$ 21. welshfella ??? am i missing something here?? i think the answer is 54 22. 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 23. 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.

24. iGreen

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

25. iGreen

She spent 50% of it and was left with $10.. 10 * 2 = ? 26. anonymous @iGreen 10 x 2 is 20. 27. iGreen Yes, so she put$20 into the bank. $20 is 1/5 of her original amount, so divide. $$\sf 20 \div \dfrac{1}{5} \rightarrow 20 \times 5$$ 28. anonymous umm, 20 is 4/5 of her original amount. 29. iGreen No..4/5 would be 80. 30. anonymous @iGreen 20 x 5 is 100. 31. iGreen Correct, that's our answer. 32. iGreen Oh, wait..I think I made another mistake >.< 33. anonymous @iGreen YAY! 34. iGreen Lol 35. iGreen Yeah, I did..@Venice-Gribbin was correct..20 is 4/5.. 36. 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.

37. iGreen

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

38. anonymous

@iGreen i suggest 7-8 hours of sleep.