There are 2 groups of workers in a factory. There are 5 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 3 toys in a minute. Both groups make a total of 21000 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 + 5 |
1 u |
Value |
7 |
3 |
Total value |
7 u + 35 |
3 u |
Number of workers in first group = 1 u + 5
Number of workers in second group = 1 u
Total number of toys made
= 7 u + 35 + 3 u
= 10 u + 35
1 h = 60 min
2 h = 2 x 60 = 120 min
Total number of toys made in 1 min
= 21000 ÷ 120
= 175
10 u + 35 = 175
10 u = 175 - 35
10 u = 140
1 u = 140 ÷ 10 = 14
Number of workers in the first group
= 1 u + 5
= 14 + 5
= 19
(b)
Number of workers in the second group
= 1 u
= 14
Answer(s): (a) 19; (b) 14