Ask questions and get helpful answers.

Ray and Omar collect stamps. Originally, 1/5 of Omar’s stamps were equivalent to 1/3 of Ray’s stamps. If Ray gave Omar 24 stamps, Omar would have 3 times as many stamps as Ray.

Find the number of stamps each of them had in the beginning.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩

1 answer

  1. Omar's original number ---- x
    Ray's original number ---- y
    (1/5)x = (1/3)y
    y = (3/5)x

    After the gifting:
    Ray has y-24
    Omar will have x + 24
    x+24 = 3(y-24
    x - 3y = -96

    sub in first part:
    x - 3(3/5)x = -96
    times 5
    5x - 9x = -480
    x = 120
    then y = (3/5)(120) = 72

    Omar had 120 and Ray had 72

    check: (1/5)(120) = 24
    (1/3)(72) = 24, well that checks out
    after gift:
    ray has 72 - 24 = 48
    Omar will have 120+24 = 144
    is 144 equal to 3 times 48 ?? sure is!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.