Answer :
To find the percentage of counters in the box that are red, we can break the problem down into a few simple steps:
1. Determine the Total Counters:
- We know that there are a total of 200 counters in the box.
2. Identify the Colors and Numbers:
- Out of these, 44 counters are yellow.
- 60 counters are blue.
3. Calculate the Remaining Counters:
- First, subtract the yellow and blue counters from the total. This gives us the number of counters that are either red or green:
[tex]\[
\text{Remaining counters} = 200 - 44 - 60 = 96
\][/tex]
4. Divide the Remaining Counters Equally:
- We know that the remaining counters consist of red and green counters, and there is the same number of red counters as green counters. Therefore, divide the remaining counters by 2 to find the number of red counters:
[tex]\[
\text{Red counters} = \frac{96}{2} = 48
\][/tex]
5. Calculate the Percentage of Red Counters:
- To find the percentage of the total counters that are red, use the formula:
[tex]\[
\text{Red percentage} = \left(\frac{\text{Red counters}}{\text{Total counters}}\right) \times 100
\][/tex]
- Substitute the values:
[tex]\[
\text{Red percentage} = \left(\frac{48}{200}\right) \times 100 = 24\%
\][/tex]
So, 24% of the counters in the box are red.
1. Determine the Total Counters:
- We know that there are a total of 200 counters in the box.
2. Identify the Colors and Numbers:
- Out of these, 44 counters are yellow.
- 60 counters are blue.
3. Calculate the Remaining Counters:
- First, subtract the yellow and blue counters from the total. This gives us the number of counters that are either red or green:
[tex]\[
\text{Remaining counters} = 200 - 44 - 60 = 96
\][/tex]
4. Divide the Remaining Counters Equally:
- We know that the remaining counters consist of red and green counters, and there is the same number of red counters as green counters. Therefore, divide the remaining counters by 2 to find the number of red counters:
[tex]\[
\text{Red counters} = \frac{96}{2} = 48
\][/tex]
5. Calculate the Percentage of Red Counters:
- To find the percentage of the total counters that are red, use the formula:
[tex]\[
\text{Red percentage} = \left(\frac{\text{Red counters}}{\text{Total counters}}\right) \times 100
\][/tex]
- Substitute the values:
[tex]\[
\text{Red percentage} = \left(\frac{48}{200}\right) \times 100 = 24\%
\][/tex]
So, 24% of the counters in the box are red.
