Let's work through the problem step by step.
We're given a number, choir, which is 60. We are tasked with counting this number in terms of halves, thirds, and quarters.
### Part (a): Halves
To count the number 60 in halves, we need to determine how many 1/2 units fit into 60.
When we talk about halves, we are essentially dividing the number by 1/2:
[tex]\[ \text{Number of halves} = \frac{60}{1/2} \][/tex]
Dividing by a fraction is equivalent to multiplying by its reciprocal:
[tex]\[ \frac{60}{1/2} = 60 \times 2 = 120 \][/tex]
Therefore, the number 60 can be divided into 120 halves.
### Part (b): Thirds
To count the number 60 in thirds, we need to determine how many 1/3 units fit into 60.
When we talk about thirds, we are dividing the number by 1/3:
[tex]\[ \text{Number of thirds} = \frac{60}{1/3} \][/tex]
Dividing by 1/3 is equivalent to multiplying by its reciprocal:
[tex]\[ \frac{60}{1/3} = 60 \times 3 = 180 \][/tex]
Thus, the number 60 can be divided into 180 thirds.
### Part (c): Quarters
To count the number 60 in quarters, we need to determine how many 1/4 units fit into 60.
When we talk about quarters, we are dividing the number by 1/4:
[tex]\[ \text{Number of quarters} = \frac{60}{1/4} \][/tex]
Dividing by 1/4 is equivalent to multiplying by its reciprocal:
[tex]\[ \frac{60}{1/4} = 60 \times 4 = 240 \][/tex]
So, the number 60 can be divided into 240 quarters.
### Summary
- The number 60 can be divided into 120 halves.
- The number 60 can be divided into 180 thirds.
- The number 60 can be divided into 240 quarters.
These findings give us a clear understanding of how the number 60 can be portioned in terms of halves, thirds, and quarters.
