(a) The ratio of blue to green to yellow counters in the bag is 3:2:5.
(b) The percentage of green counters is 20%.
(a) Ratio of Blue to Green to Yellow Counters:
The given ratios are blue to green (3:2) and green to yellow (2:5). To find the overall ratio, we can combine these ratios by multiplying the corresponding parts. So, the combined ratio is:
Blue to Green to Yellow = (3 * 2) : (2 * 2) : (2 * 5) = 6 : 4 : 10.
However, we can simplify this ratio by dividing each part by their greatest common factor, which is 2. Therefore, the simplified ratio is 3 : 2 : 5.
(b) Percentage of Green Counters:
In the simplified ratio, the part representing green counters is 2. To find the percentage of green counters, we need to determine what fraction of the total this represents.
The total parts in the ratio are 3 (blue) + 2 (green) + 5 (yellow) = 10 parts.
The fraction representing green counters is 2 parts out of 10, which is 2/10. To express this as a percentage, we multiply by 100:
Percentage of Green Counters = (2/10) * 100 = 20%.
The question probable may be:
Question 1: 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 (a) Write down the ratio of blue to green to yellow counters in the bag. (b) What percentage of the beads are green?