There are 2 groups of operators in a factory. There are 7 more operators in the first group than the second group. Each operator in the first group makes 5 toys in a minute but each operator in the second group makes only 2 toys in a minute. Both groups make a total of 11340 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 + 7 |
1 u |
Value |
5 |
2 |
Total value |
5 u + 35 |
2 u |
Number of operators in first group = 1 u + 7
Number of operators in second group = 1 u
Total number of toys made
= 5 u + 35 + 2 u
= 7 u + 35
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 11340 ÷ 180
= 63
7 u + 35 = 63
7 u = 63 - 35
7 u = 28
1 u = 28 ÷ 7 = 4
Number of operators in the first group
= 1 u + 7
= 4 + 7
= 11
(b)
Number of operators in the second group
= 1 u
= 4
Answer(s): (a) 11; (b) 4