I do not know a single step how to solve this question. Please help me step by step. ?

This is the question. 

Attachment image

2 Answers

Relevance
  • r : w : y = 9 : 5 : 4

    r - 7 : w - 5 : y - 3 = 4 : 2 : 3

    r/w = 9/5

    r/y = 9/4

    w/y = 5/4

    r = 1.8 * w

    r = 2.25 * y

    w = 1.25 * y

    (r - 7) / (w - 5) = 4/2

    (r - 7) / (y - 3) = 4/3

    (w - 5) / (y + 3) = 2/3

    2 * (r - 7) = 4 * (w - 5)

    3 * (r - 7) = 4 * (y + 3)

    3 * (w - 5) = 2 * (y + 3)

    r - 7 = 2 * (w - 5)

    3r - 21 = 4y + 12

    3w - 15 = 2y + 6

    r = 2w - 3

    3r = 4y + 33

    3w = 2y + 21

    1.8 * w = 2w - 3

    -0.2 * w = -3

    w = 15

    3w = 2y + 21

    45 = 2y + 21

    24 = 2y

    12 = y

    r = 2w - 3

    r = 30 - 3

    r = 27

    27:15:12 originally

    20:10:15 afterwards

  • 4 weeks ago

    Let 9x be the amount of red candy

    Let 5x be the amount of white candy

    Let 4x be the amount of yellow candy

    When you remove 7 red and 5 white, but then add 3 yellow, your new amounts are:

    9x - 7 (red candy)

    5x - 5 (white candy)

    4x + 3 (yellow candy)

    The new ratio is 4:2:3, so we can say:

    (9x - 7) / (5x - 5) = 4/2

    Multiply both sides by 5x - 5:

    9x - 7 = 2(5x - 5)

    Distribute:

    9x - 7 = 10x - 10

    Group like terms:

    10 - 7 = 10x - 9x

    3 = x

    So we didn't even need the information about the added yellows.

    9x --> 27 red

    5x --> 15 white

    4x --> 12 yellow

    For completeness, let's verify the ratio for the new set:

    20 red, 10 white, 15 yellow

    20:10:15 --> 4:2:3

    Answer:

    27 red, 15 white, 12 yellow (for a total of 54 pieces)

    • Usman4 weeks agoReport

      Yes you are damn right. Thanks for helping. 

Still have questions? Get your answers by asking now.