# math

posted by .

rudy went to the mall to spend some of his money he earned. he spent 1/3 of his money o n a new shirt. He then went to to the music store and bought a cd with 1/3 he had left. At dvds to go he bought a dvd with 1/3 of the money he had left. He stopped once more and bought a book with 1/3 of his remaining. Rudy came home with just \$16.00left. how much did he start with?

• math -

Let M be the money he earned.

2/3 M is what he has left after new shirt.
2/3*2/3 M is what he has left after cd.
2/3*2/3*2/3M is what he has left after dvd.
16=(2/3)^4 M

M= 16*(3/2)^4=16*81/16=81

check that.

• math -

how do you get back from 81/1 to 16/1

• math -

16*81/16... the 16/16 divides to 1, leaving 81

• math -

• math -

well youleft out the one third of the money from the book store

## Similar Questions

1. ### Math

Rudy worked hard all summer. Before school started he decided to go shopping and spend some of his earnings. He spent 1/3 of his money on a new shirt at HOT Fashions in the Mall. He then went to Marvin's Music and bought a cd with …
2. ### 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 …
3. ### math

Samantha smith went into a store and spent half her money and then spent \$20 more. Samantha then went into a second store and spent half her remaining money and then spent \$20 more. After spending money in the second store, Samantha …
4. ### math

You earned \$12 on Monday and \$24 on Tuesday. After spending some of your money at the mall, you had \$13 left. How much money did you spend at the mall
5. ### math

Jill went inside a store and spent half of her money and 20.00 she then went inside a second store and spent half of her remaining money and 20.00 more. she was left with no money afterwards. how much did she have when she went inside …
6. ### math

Roma spent 30% of the money she bought to the mall..If she spent 450.00 only,how much did she have with her when she went to the mall?
7. ### math

mark went to the department store to buy gifts for his friends. he spent half of his money plus 50 at store A. he then spent half of the remaining money plus 100 at store b at the end he had 250. how much money did he have at the beginning
8. ### 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?
9. ### Math

The Mall: My sister likes to go shopping. Yesterday she borrowed a wad of money from Mom and went to the mall. She began her excursion by spending \$18 on a new CD. Then she spent half her remaining money on a new dress. Then she spent …

More Similar Questions