There are blue, yellow and green tokens in a box. The ratio of the number of blue tokens to the number of yellow tokens is 2:3. The ratio of the number yellow tokens to the number of green tokens is 1:5. What is the ratio of the number of blue tokens to the total number of tokens?

Question

Mathematics

Aileen Peters

1 October, 15:17

There are blue, yellow and green tokens in a box. The ratio of the number of blue tokens to the number of yellow tokens is 2:3. The ratio of the number yellow tokens to the number of green tokens is 1:5. What is the ratio of the number of blue tokens to the total number of tokens?

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Answers (1)

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Lucian Scott · Answer 1

B:y=2:3

y:g=1:5

we know that y=y so make the units same

in the b:y, y=3 units

in the y:g, y=1 units

so times the second equaton by 3 to get

b:y=2:3 and

y:g=3:15

so

b:y:g=2:3:15

now find teh ratio of blue to ttotal

total=b+y+g=2+3+15=20

blue=2

2 to total=2:20 or 1:10