# math

posted by .

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?

• math -

m - m/5 - (4m/5)/3 = 24
m - m/5 - 4m/15 = 24
8m/15 = 24
m = 24(15/8) = 45

check:
started with 45
spent 9, leaving 36
lent 12, leaving 24

## 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

An Antique dealer visited three shops. she spend \$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 …
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,(fraction)

Susan had some money. she spent one-sixth of her money on Saturday.on Sunday,she spent one-half of the remaining money and gave \$20 to her niece. she spent the rest of her money at an average of \$15 for the next 5days.how much money …
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. ### 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 …
7. ### math working backwards

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?
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

Chin went to a store where he spent one half of his money and\$14 more.He then went to another store where he spent one third of his money and \$14 more. If he then had no money left, how much did he have when he entered the first store?
10. ### Math

laura spent 20 percent of her money on a dress. she spent 2/5 of the remainder on a book. she had \$72 left. how much money did she have at first?

More Similar Questions