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

This is the question.

### 2 Answers

- 4 weeks ago
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

- PuzzlingLv 74 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)

Yes you are damn right. Thanks for helping.