# Math

The ratio of Jim's money to Peters money was 4:7 at first. After peter gave 3/14 of his money to jim, they have equal amounts of money. How much money did jim have at first?

1. 👍 0
2. 👎 0
3. 👁 837
1. J/P = 4/7 so J = 4 P/7

P - 3 P/14 = J + 3 P/14

P - 3 P/7 = J = 4 P/7

4 P/7 = 4 P/7

any P OR any J

say J = 8
then P = 14

14 -3 (14/14) = ?? 8 + 3(14/14)
well
11 = 11 sure enough :)

1. 👍 1
2. 👎 3
2. Let peter have Jim have \$4x. Then the given ratio means that Peter has \$7x.

Since Jim spent half his money, he now has \$2x dollars.

Peter spent \$60 and thus now has \$(7x-60).

The final ratio of Jim's money to Peter's money is therefore 2x : (7x-60). This is given as 1:2.

Now we just need to solve the proportion by cross-multiplying.

2x : (7x - 60) = 1 : 2

1*(7x - 60) = 2*2x

7x - 60 = 4x

3x = 60

x = 20. Therefore Jim originally had \$4x = \$80.

1. 👍 2
2. 👎 0

## Similar Questions

1. ### Math

A man and his wife share a sum of money in the ratio 3:2. If the sum of money is doubled, then in what ratio should they divide it so that the man still receives the same amount?

2. ### maths

john,peter and mary shared a sum of money in ratio 2:4:9.john and peter together received \$360.how much money was shared?plz to show working

3. ### Maths

The ratio of the amount of money Karen had to the amount of money Peter had was 2:5. Peter received \$75 from his mother, the ratio became 4:15. How much money did each person have at first?

4. ### Maths

Swarna gave 1/4 of her pocket money to her brother. Out of the remaining money she spent 1/3 for buying a book and 1/6 for watching a movie. She donated the rest of the money for charity. What fraction of her pocket money did she

1. ### Math

Phil Anthropist likes to give away money. One day he went to the park with a wad of cash. He gave \$100 to a man feeding pigeons. He then gave half of his remaining money to a child eating an ice-cream cone. He then gave \$50 to the

2. ### 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

3. ### singaporean math ratio

Alex spent 3/7 of his money. He gave 1/4 of the remainder to his sister. He had 120 left. How much money had he at first?

Hannah and Francine have \$120. Hannah and Peter have \$230. Peter has 6 times as much money as Francine. How much money does Hannah have?

1. ### Math

The ratio of the amount of money Jason had to the amount of money Wilson had was 12:13. After Wilson spent \$63, Jason had 3 times as much money as Wilson. a) How much money did Jason have? b) How much money do they have

2. ### Math

The ratio of Jims money to Peter's money was 4:7 at first. After Jim spent 1/2 of his money and peter spent \$60, Peter had twice as much money as Jim. How much money did Jim have at first?

3. ### math

Alex spent 3/7 of his money. He gave 1/4 of the remainder to his sister. He had \$120 left. How much money did he have in the beginning?

4. ### Economics

Your pay stub deducts money for FICA. What does this mean? A. Money is being withheld for personal exemptions and deductions. B. Money is being withheld for excise and estate taxes. C. Money is being withheld to fund Social