In a bag, there are blue, green, and yellow counters. The ratio of blue counters to green counters is 3:2. The ratio of green counters to yellow counters is 2:5. Write down the ratio of blue to green to yellow counters in the bag.

Question

15-07-2024
Mathematics

High School

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In a bag, there are blue, green, and yellow counters. The ratio of blue counters to green counters is 3:2. The ratio of green counters to yellow counters is 2:5. Write down the ratio of blue to green to yellow counters in the bag.

Answer :

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Final answer:

To find the combined ratio of blue, green, and yellow counters, we simply place the compatible ratios side by side without any need to alter them. Therefore, the combined ratio of blue to green to yellow counters in the bag is 3:2:5.

Explanation:

The question asks us to find the combined ratio of blue, green, and yellow counters in a bag, given two separate ratios. The ratio of blue to green counters is 3:2, and the ratio of green to yellow counters is 2:5.

Firstly, we observe that the number of green counters is common in both ratios, acting as a link between blue and yellow counters. To combine the two ratios into a single ratio involving blue, green, and yellow, we need to make sure that the number of green counters is the same in both ratios. In the first ratio, we have 2 green counters, and in the second ratio, we also have 2 green counters, so we do not need to adjust these ratios further since they are already compatible.

The combined ratio of blue to green to yellow counters is found by putting the two ratios together. Since we have the same number for green counters in both ratios, we can write them side by side: blue:green = 3:2 and green:yellow = 2:5 becomes blue:green:yellow = 3:2:5.