# math working backwards

posted by .

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 -

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 -

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 -

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 -

I understand thank you.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### 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 …
2. ### 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
3. ### 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 …
4. ### math

Sandra spent one-fifth pf her money and loaned one-third of the remainder to her brother Sam. She then had \$24. How much money did she have at first?
5. ### 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 …
6. ### 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 …
7. ### 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 …
8. ### 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?
9. ### Math

A woman spent two third of her money. She lost two-third of the remainder and then had 200 pesos left. With how much money did he start?
10. ### Maths/Algebra

Samantha went shopping and spent half her money on a T-shirt and a third of her money on a scarf. She returned with \$15. How much money did she have to begin with?

More Similar Questions