There are 2 groups of operators in a factory. There are 3 more operators in the first group than the second group. Each operator in the first group makes 8 toys in a minute but each operator in the second group makes only 3 toys in a minute. Both groups make a total of 16200 toys in 3 hours.
- How many operators are there in the first group?
- How many operators are there in the second group?
|
First group |
Second group |
Number |
1 u + 3 |
1 u |
Value |
8 |
3 |
Total value |
8 u + 24 |
3 u |
Number of operators in first group = 1 u + 3
Number of operators in second group = 1 u
Total number of toys made
= 8 u + 24 + 3 u
= 11 u + 24
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 16200 ÷ 180
= 90
11 u + 24 = 90
11 u = 90 - 24
11 u = 66
1 u = 66 ÷ 11 = 6
Number of operators in the first group
= 1 u + 3
= 6 + 3
= 9
(b)
Number of operators in the second group
= 1 u
= 6
Answer(s): (a) 9; (b) 6