There are 2 groups of operators in a factory. There are 6 more operators in the first group than the second group. Each operator in the first group makes 4 toys in a minute but each operator in the second group makes only 4 toys in a minute. Both groups make a total of 26400 toys in 5 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 + 6 |
1 u |
Value |
4 |
4 |
Total value |
4 u + 24 |
4 u |
Number of operators in first group = 1 u + 6
Number of operators in second group = 1 u
Total number of toys made
= 4 u + 24 + 4 u
= 8 u + 24
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 26400 ÷ 300
= 88
8 u + 24 = 88
8 u = 88 - 24
8 u = 64
1 u = 64 ÷ 8 = 8
Number of operators in the first group
= 1 u + 6
= 8 + 6
= 14
(b)
Number of operators in the second group
= 1 u
= 8
Answer(s): (a) 14; (b) 8