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

This is the question. 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

• 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

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

• Usman3 weeks agoReport