There are 2 groups of workers in a factory. There are 6 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 7920 toys in 2 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 + 6 |
1 u |
Value |
5 |
4 |
Total value |
5 u + 30 |
4 u |
Number of workers in first group = 1 u + 6
Number of workers in second group = 1 u
Total number of toys made
= 5 u + 30 + 4 u
= 9 u + 30
1 h = 60 min
2 h = 2 x 60 = 120 min
Total number of toys made in 1 min
= 7920 ÷ 120
= 66
9 u + 30 = 66
9 u = 66 - 30
9 u = 36
1 u = 36 ÷ 9 = 4
Number of workers in the first group
= 1 u + 6
= 4 + 6
= 10
(b)
Number of workers in the second group
= 1 u
= 4
Answer(s): (a) 10; (b) 4