Question

in a bag containing red, green and pink tokens, the ratio of red and green tokens was 12:35 while the ratio of pink and red tokens was 25:18. what was the ratio of green and pinlk tokens

Answer 1

R, G, P tokens

R:G = 12:35

R:P = 18:25

G:P = ?

R:G = 12:35 x 3 = 36:105

R:P = 18:25 x 2 = 36:50

we have made ratio of red in both the cases equal

so we can say G:P = 105:50 = 21:10

Answer 2

Ratio of red token : green token = 12 : 35 (Given)

Ratio of pink token : red token = 25 : 18 (Given)

Since both ratio contain the red token, we will make the number of red token the same in both ratio:

Ratio of red token : green token = 12 : 35

Multiply by 3: ⇒ Ratio of red token : green token = 36 : 105

Ratio of pink token : red token = 25 : 18

Multiply by 2:  ⇒ Ratio of pink token : red token = 50 : 36

Now that both ratio have the red token as the same (both are 36), we can combine the ratio into a single ratio:

Ratio of red token : green token : pink token = 36 : 105 : 50

Find the ratio of green token to pink token:

ratio of green ratio of green token to pink token = 105 : 50

Simplify by dividing by 5:

ratio of green ratio of green token to pink token = 21 : 10

Answer:  green token : pink token = 21 : 10