Answer :
Let total counters are 100. Then red are =15*100/100=15.Let A are the no. of blue counters.As yellow are 27.So red+Blue+yellow=100. ie 15+A+27=100.So A=100.15-27=58. ie Blue are 58%
Final answer:
To find the number of blue counters, we subtract the percentage of red counters from 100% to find the percentage of yellow counters. Then, we set up a proportion to find the percentage of blue counters. Finally, we calculate the actual number of blue counters by multiplying the percentage by the total number of counters.
Explanation:
To find the number of blue counters, we need to first find the percentage of counters that are yellow. Since 15% are red and we know that the rest are yellow, we can subtract the percentage of red from 100% to get the percentage of yellow counters. So 100% - 15% = 85%. We know that there are 27 yellow counters, so we can set up the proportion: 85% is to 27 as x% is to the total number of counters. Solving this proportion will give us the value of x, which represents the percentage of blue counters. Once we have the percentage, we can calculate the actual number of blue counters by multiplying the percentage by the total number of counters.
Step 1: Calculate the percentage of blue counters:
100% - 15% = 85%
Step 2: Set up the proportion:
85% is to 27 as x% is to the total number of counters: 85/100 = 27/x
Step 3: Solve for x:
85x = 2700
x = 2700/85
x ≈ 31.76%
Step 4: Calculate the number of blue counters:
31.76% of the total number of counters
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