There are 2 groups of workers in a plant. There are 4 more workers in the first group than the second group. Each worker in the first group makes 5 toys in a minute but each worker in the second group makes only 4 toys in a minute. Both groups make a total of 22200 toys in 5 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 |
5 |
4 |
Total value |
5 u + 20 |
4 u |
Number of workers in first group = 1 u + 4
Number of workers in second group = 1 u
Total number of toys made
= 5 u + 20 + 4 u
= 9 u + 20
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 22200 ÷ 300
= 74
9 u + 20 = 74
9 u = 74 - 20
9 u = 54
1 u = 54 ÷ 9 = 6
Number of workers in the first group
= 1 u + 4
= 6 + 4
= 10
(b)
Number of workers in the second group
= 1 u
= 6
Answer(s): (a) 10; (b) 6