There are 2 groups of workers in a manufacturing unit. There are 4 more workers in the first group than the second group. Each worker in the first group makes 7 toys in a minute but each worker in the second group makes only 4 toys in a minute. Both groups make a total of 18900 toys in 3 hours.
- How many workers are there in the first group?
- How many workers are there in the second group?
|
First group |
Second group |
Number |
1 u + 4 |
1 u |
Value |
7 |
4 |
Total value |
7 u + 28 |
4 u |
Number of workers in first group = 1 u + 4
Number of workers in second group = 1 u
Total number of toys made
= 7 u + 28 + 4 u
= 11 u + 28
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 18900 ÷ 180
= 105
11 u + 28 = 105
11 u = 105 - 28
11 u = 77
1 u = 77 ÷ 11 = 7
Number of workers in the first group
= 1 u + 4
= 7 + 4
= 11
(b)
Number of workers in the second group
= 1 u
= 7
Answer(s): (a) 11; (b) 7