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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.

What percentage of the counters are green?

Answer :

Final answer:

To find the percentage of green counters, we need to determine the ratio of green counters to the total number of counters in the bag, which is 20%. The ratio of blue counters to green counters is 3:2, and the ratio of green counters to yellow counters is 2:5.

Explanation:

To find the percentage of green counters, we need to determine the ratio of green counters to the total number of counters in the bag. Let's calculate step-by-step:

  1. From the given information, we have the ratio of blue to green counters as 3:2.
  2. We can multiply the ratio by a factor to make the number of green counters a multiple of 5. Multiplying by 2 gives us 6 blue counters and 4 green counters.
  3. Similarly, the ratio of green to yellow counters is 2:5. We can multiply by 2 to get 4 green counters and 10 yellow counters.
  4. Now, we can find the total number of counters by summing the blue, green, and yellow counters: 6 + 4 + 10 = 20 counters.
  5. Finally, we can calculate the percentage of green counters by dividing the number of green counters by the total number of counters and multiplying by 100: (4/20) * 100 = 20%.

Therefore, 20% of the counters in the bag are green.

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Rewritten by : Barada