There are 2 groups of operators in a manufacturing unit. There are 7 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 4 toys in a minute. Both groups make a total of 18720 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 |
8 |
4 |
Total value |
8 u + 56 |
4 u |
Number of operators in first group = 1 u + 7
Number of operators in second group = 1 u
Total number of toys made
= 8 u + 56 + 4 u
= 12 u + 56
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 18720 ÷ 180
= 104
12 u + 56 = 104
12 u = 104 - 56
12 u = 48
1 u = 48 ÷ 12 = 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