There are 200 counters in a bag. 38 counters are red. 52 counters are blue. The rest of the counters are yellow or green. There are the same number of yellow counters as green counters. What percentage of the counters in the bag are yellow?

In a bag containing a total of 200 counters, a specific distribution of colors is observed. Among these counters, 38 are identified as red, while 52 are classified as blue. The remaining counters, which are not red or blue, consist of yellow and green counters. It is important to note that the quantity of yellow counters is equal to the quantity of green counters, indicating a balanced distribution between these two colors.

To determine the number of yellow counters, one must first calculate the total number of counters that are either red or blue. By adding the red and blue counters together, we find that there are 90 counters accounted for (38 red + 52 blue). Consequently, the number of counters that remain, which are either yellow or green, can be calculated by subtracting this total from the overall count of 200 counters. This results in 110 counters that are either yellow or green.

Since it is established that the number of yellow counters is equal to the number of green counters, we can deduce that there are 55 yellow counters (as 110 divided by 2 equals 55). To find the percentage of the total counters that are yellow, we take the number of yellow counters and divide it by the total number of counters in the bag, then multiply by 100. This calculation reveals that 27.5% of the counters in the bag are yellow. For those seeking assistance with such mathematical concepts, a GCSE & A-Level maths help online resource can provide valuable guidance and support.