Ask questions and get helpful answers.

the ratio of Simone's pocket money to Fiona's pocket money was 2:3. After Fiona had received $5 from her mother, the ratio of Simone's pocket money to Fiona's pocket money became 4:7. how much pocket money did both of them have at first?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
2 answers
  1. s = 2 f/3

    s = 4 (f+5) /7

    2 f/3 = 4 f/7 + 20/7

    2*21 f/3 = 4*21 f/7 + 20*21 /7

    14 f = 12 f + 60

    2 f = 60
    f = 30
    s = 2 f/3 = 20
    s/f = 20/30 = 2/3 yes

    s/(f+5) = 20/35 = 4/7 yes, it worked

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. how about this approach:

    Simone's money --- 2x
    Fiona's money --- 3x

    after mom's gift:
    2x/(3x+5) = 4/7
    14x = 12x + 20
    2x = 20
    x = 10

    so Simone had 2x or $20
    Fiona had 3x or $30

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. math

    a sum of money is shared between to persons at the ratio 2:5 one person received $60 how much was shared

  2. Fractions

    Alex spent 1/3 of his pocket money on a toy airplane and 2/3 of the remainder on a toy robot. He had $20 left. How much did he spend altogether?

  3. Economics

    Determine whether each of the following would lead to an increase, a decrease, or no change in the quantity of money people wish to hold. Also determine whether there is a shift in the money demand curve or a movement along a given money demand curve a. A

  4. Math

    If Will gives Molly $9 he will have the same amount as her. If Molly gives will $9 the ratio of the money she has to the money Will has will be 1:2. How much money does Will have in the beginning

  5. Math

    Richa spends 1/4 of pocket money on chocolates,1/8 on pencils.At the end she had R's 40 left. How much did she have at the beginning? Many solved 25 questions of his math assignment.This was 1/8 of total questions. He does not know 1/5 of the rest. How

  6. math

    samina spends three-fourth of her pocket money to buy chocolates and the rest to purchase chewing gum. find the ratio of amount spent on chocolates to that spent on chewing gum

  7. devi

    cheena spent 3/4 of her pocket money. she spend 1/2 of it on a book 1/6 on movie and rest on dress what amount she spend on dress

  8. 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?

  9. Mathematics

    lorinda is given pocket money for a week she decides to spend 2/5 of the money on breakfast, 1/6 of the remaining on snack and 3/4 of what is still remaining on lunch for a day. if she will be left with Gh¢ 100.00 after the first day of making the above

  10. maths

    A sum of money is divided among three persons, X,Y and z in the ratio of 10:7:5. if Y gets $14 more then Z, how much X will get and what is the total sum of money?

Still need help?

You can ask a new question or browse existing questions.