Question

A box contains blue, red and yellow counters. The ratio of blue to red counters is 8:5. The ratio of red to yellow counters is 3:2. Find the ratio of blue to yellow counters in its simplest form.

Answer 1

The ratio of blue to yellow counters is 12:5.

Step-by-step explanation:

To find the ratio of blue to yellow counters, we need to first find the ratio of blue to red and the ratio of red to yellow counters. The ratio of blue to red counters is 8:5, and the ratio of red to yellow counters is 3:2. We can combine these ratios by multiplying them together.

8:5 * 3:2 = 24:10

To simplify this ratio, we divide both sides by their greatest common divisor, which is 2.

24 ÷ 2 : 10 ÷ 2 = 12:5

Therefore, the ratio of blue to yellow counters is 12:5.