math working backwards
posted by luckybee .
Sandra spent onefifth of her money and loaned onethird of the remainder to her brother. She had $24 left. How much did she begin with?

math working backwards 
Steve
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
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
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
I understand thank you.
Respond to this Question
Similar Questions

Geometry
An antique dealer visited three shops. She spent $25 at the first shop. At the second shop, she spent half of her remaining money. At the third shop, she spent one third of her remaining money and had $60 left. How much money did the … 
math
dara spent 25% of his money in one shop , he spent 33 1/3 of the remainder and had £6.80 left , how much had he at first 
math
an antique dealer visited three shops.she spent 25$ at the first shop.at the second shop she spent half of her remaining money .at the third shop she spent one third of her remaining money and had 60$ left.How much money did the dealer … 
math
Sandra spent onefifth pf her money and loaned onethird of the remainder to her brother Sam. She then had $24. How much money did she have at first? 
Algebra POW #10
Amanda worked hard all summer. Before school started,she decided to go shopping and spend some of her earnings. She spent one third of her money on a new shirt and hot fashions in the mall. He then went to andy's music and brought … 
Algebra
I need help with this like really badly sooo yeahhhh:) here it is: Hugo withdrew some money from his bank account. He spent one third of the money for gasoline. Then he spent half of what was left for a haircut. He bought lunch for … 
Math
A merchant visited 3 fairs. At the first, he doubled his money and spent $30; at the second he tripled his money and spent $54; at the third, he quadrupled his money and spent $72, and then had $48 left. How much money had he at the … 
math
Gopal spent three fifths of his money in the first week and one third of the remainder in the secondweek.He spent $110 altogether.How much money did he have left? 
Math
A woman spent two third of her money. She lost twothird of the remainder and then had 200 pesos left. With how much money did he start? 
Maths/Algebra
Samantha went shopping and spent half her money on a Tshirt and a third of her money on a scarf. She returned with $15. How much money did she have to begin with?