There are 2 groups of operators in a factory. There are 4 more operators in the first group than the second group. Each operator in the first group makes 7 toys in a minute but each operator in the second group makes only 2 toys in a minute. Both groups make a total of 28320 toys in 4 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 + 4 |
1 u |
Value |
7 |
2 |
Total value |
7 u + 28 |
2 u |
Number of operators in first group = 1 u + 4
Number of operators in second group = 1 u
Total number of toys made
= 7 u + 28 + 2 u
= 9 u + 28
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 28320 ÷ 240
= 118
9 u + 28 = 118
9 u = 118 - 28
9 u = 90
1 u = 90 ÷ 9 = 10
Number of operators in the first group
= 1 u + 4
= 10 + 4
= 14
(b)
Number of operators in the second group
= 1 u
= 10
Answer(s): (a) 14; (b) 10