High School

There are 600 counters in a bag. The counters are blue, red, or yellow.

[tex]\frac{5}{12}[/tex] of the counters are blue.

194 of the counters are red.

What percentage of the counters are yellow?

Answer :

Certainly! Let's solve the problem step-by-step:

1. Understand the Total Counters:
- The total number of counters in the bag is 600.

2. Determine the Number of Blue Counters:
- We know that [tex]\(\frac{5}{12}\)[/tex] of the counters are blue.
- Calculate the number of blue counters by multiplying the total counters by the fraction of blue counters:
[tex]\[
\text{Number of blue counters} = 600 \times \frac{5}{12} = 250
\][/tex]

3. Determine the Number of Red Counters:
- We are given that there are 194 red counters.

4. Calculate the Number of Yellow Counters:
- To find the number of yellow counters, we subtract the number of blue and red counters from the total:
[tex]\[
\text{Number of yellow counters} = 600 - 250 - 194 = 156
\][/tex]

5. Calculate the Percentage of Yellow Counters:
- To find out what percentage of the counters are yellow, divide the number of yellow counters by the total number of counters and multiply by 100:
[tex]\[
\text{Percentage of yellow counters} = \left(\frac{156}{600}\right) \times 100 = 26\%
\][/tex]

Therefore, the percentage of the counters that are yellow is 26%.

Other Questions