There are 2 groups of workers in a factory. There are 3 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 2 toys in a minute. Both groups make a total of 21300 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 + 3 |
1 u |
Value |
5 |
2 |
Total value |
5 u + 15 |
2 u |
Number of workers in first group = 1 u + 3
Number of workers in second group = 1 u
Total number of toys made
= 5 u + 15 + 2 u
= 7 u + 15
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 21300 ÷ 300
= 71
7 u + 15 = 71
7 u = 71 - 15
7 u = 56
1 u = 56 ÷ 7 = 8
Number of workers in the first group
= 1 u + 3
= 8 + 3
= 11
(b)
Number of workers in the second group
= 1 u
= 8
Answer(s): (a) 11; (b) 8