There are 2 groups of workers in a factory. There are 7 more workers in the first group than the second group. Each worker in the first group makes 4 toys in a minute but each worker in the second group makes only 4 toys in a minute. Both groups make a total of 16800 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 + 7 |
1 u |
Value |
4 |
4 |
Total value |
4 u + 28 |
4 u |
Number of workers in first group = 1 u + 7
Number of workers in second group = 1 u
Total number of toys made
= 4 u + 28 + 4 u
= 8 u + 28
1 h = 60 min
2 h = 2 x 60 = 120 min
Total number of toys made in 1 min
= 16800 ÷ 120
= 140
8 u + 28 = 140
8 u = 140 - 28
8 u = 112
1 u = 112 ÷ 8 = 14
Number of workers in the first group
= 1 u + 7
= 14 + 7
= 21
(b)
Number of workers in the second group
= 1 u
= 14
Answer(s): (a) 21; (b) 14