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There are blue, yellow and white counters in a bag in the ratio 15:4:6There are 27 more blue counters than white counters.How many yellow counters are there?

Question

There are blue, yellow and white counters in a bag in the ratio 15:4:6. There are 27 more blue counters than white counters.

How many yellow counters are there?

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Solution

To solve this problem, we need to follow these steps:

  1. First, we need to understand the ratio. The ratio of blue to yellow to white counters is 15:4:6. This means for every 15 blue counters, there are 4 yellow and 6 white.

  2. We know that there are 27 more blue counters than white counters. So, if we subtract the number of white counters from the number of blue counters, we should get 27. In terms of the ratio, this means 15 parts - 6 parts = 9 parts. So, 9 parts are equivalent to 27 counters.

  3. To find out what 1 part is equivalent to, we divide the number of counters by the number of parts. So, 27 counters ÷ 9 parts = 3 counters per part.

  4. Now that we know 1 part is equivalent to 3 counters, we can find out how many yellow counters there are. Since the ratio tells us there are 4 parts of yellow counters, we multiply the number of parts by the number of counters per part. So, 4 parts * 3 counters/part = 12 yellow counters.

So, there are 12 yellow counters in the bag.

This problem has been solved

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