Answer :
To solve the problem, we need to determine the number of green counters in the bag based on the given ratio of green to blue counters, which is 1:3. There are 56 counters in total.
Here is a step-by-step solution:
1. Understand the Ratio:
- The ratio of green counters to blue counters is 1:3. This means for every 1 green counter, there are 3 blue counters.
2. Total Parts in the Ratio:
- Since the ratio is 1:3, the total parts in the ratio are 1 part green + 3 parts blue = 4 parts.
3. Divide the Total Counters by the Total Parts in the Ratio:
- We have 56 counters to be divided into these 4 parts. Each part represents the same number of counters.
- So, each part is equal to [tex]\( \frac{56}{4} = 14 \)[/tex].
4. Calculate the Number of Green Counters:
- As per the ratio, there is 1 part of green counters. Therefore, the number of green counters is 1 part, which equals 14.
So, the number of green counters in the bag is 14.
Here is a step-by-step solution:
1. Understand the Ratio:
- The ratio of green counters to blue counters is 1:3. This means for every 1 green counter, there are 3 blue counters.
2. Total Parts in the Ratio:
- Since the ratio is 1:3, the total parts in the ratio are 1 part green + 3 parts blue = 4 parts.
3. Divide the Total Counters by the Total Parts in the Ratio:
- We have 56 counters to be divided into these 4 parts. Each part represents the same number of counters.
- So, each part is equal to [tex]\( \frac{56}{4} = 14 \)[/tex].
4. Calculate the Number of Green Counters:
- As per the ratio, there is 1 part of green counters. Therefore, the number of green counters is 1 part, which equals 14.
So, the number of green counters in the bag is 14.
