There are 2 groups of operators in a plant. 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 3 toys in a minute. Both groups make a total of 41700 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 + 7 |
1 u |
Value |
5 |
3 |
Total value |
5 u + 35 |
3 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 + 3 u
= 8 u + 35
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 41700 ÷ 300
= 139
8 u + 35 = 139
8 u = 139 - 35
8 u = 104
1 u = 104 ÷ 8 = 13
Number of operators in the first group
= 1 u + 7
= 13 + 7
= 20
(b)
Number of operators in the second group
= 1 u
= 13
Answer(s): (a) 20; (b) 13