Question

There are only orange counters, blue counters and yellow counters in a bag.

The ratio of orange counters to blue counters is 4:11
The ratio of blue counters to yellow counters is 55:8

Find the ratio of orange counters : blue counters : yellow counters

Give your ratio in its simplest form with integer parts.

Answer 1

Answer is 20:55:8

Step-by-step explanation

The ratio 4:11 is equivalent to 20:55 when multiplying both parts by 5.

I did this so that we have 55 as the second term, to have it match with the 55 of 55:8

Combine the ratios 20:55 and 55:8 to end up with the final answer 20:55:8

It says that we could have 20 orange, 55 blue, 8 yellow. Or we could have 40 orange, 110 blue, 16 yellow, and so on.