Posted by **luckybee** on Saturday, September 14, 2013 at 6:05pm.

Sandra spent one-fifth of her money and loaned one-third of the remainder to her brother. She had $24 left. How much did she begin with?

- math working backwards -
**Steve**, Saturday, September 14, 2013 at 6:53pm
m - 1/5 m = 4/5 m

4/5 m * 1/3 = 4/15 m

m - 1/5 m - 4/15 m = 24

m = 45

- math working backwards -
**luckybee**, Saturday, September 14, 2013 at 7:10pm
When working backwards we first need to deal with 1/3. so since it says 1/3 of the remainder, does this mean to divide 24 by 1/3

- math working backwards -
**Steve**, Saturday, September 14, 2013 at 11:08pm
if r is the remainder, then

24 = 2/3 r

r = 36

r = 4/5 m, so

m = 5/4 * 36 = 45

- math working backwards -
**luckybee**, Sunday, September 15, 2013 at 2:00am
I understand thank you.

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