There are 2 groups of workers in a factory. There are 8 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 50400 toys in 4 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 + 8 |
1 u |
Value |
7 |
4 |
Total value |
7 u + 56 |
4 u |
Number of workers in first group = 1 u + 8
Number of workers in second group = 1 u
Total number of toys made
= 7 u + 56 + 4 u
= 11 u + 56
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 50400 ÷ 240
= 210
11 u + 56 = 210
11 u = 210 - 56
11 u = 154
1 u = 154 ÷ 11 = 14
Number of workers in the first group
= 1 u + 8
= 14 + 8
= 22
(b)
Number of workers in the second group
= 1 u
= 14
Answer(s): (a) 22; (b) 14