There are 2 groups of operators in a manufacturing unit. There are 3 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 4 toys in a minute. Both groups make a total of 31500 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 + 3 |
1 u |
Value |
7 |
4 |
Total value |
7 u + 21 |
4 u |
Number of operators in first group = 1 u + 3
Number of operators in second group = 1 u
Total number of toys made
= 7 u + 21 + 4 u
= 11 u + 21
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 31500 ÷ 180
= 175
11 u + 21 = 175
11 u = 175 - 21
11 u = 154
1 u = 154 ÷ 11 = 14
Number of operators in the first group
= 1 u + 3
= 14 + 3
= 17
(b)
Number of operators in the second group
= 1 u
= 14
Answer(s): (a) 17; (b) 14