There are 2 groups of workers in a factory. There are 4 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 15360 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 + 4 |
1 u |
Value |
7 |
3 |
Total value |
7 u + 28 |
3 u |
Number of workers in first group = 1 u + 4
Number of workers in second group = 1 u
Total number of toys made
= 7 u + 28 + 3 u
= 10 u + 28
1 h = 60 min
2 h = 2 x 60 = 120 min
Total number of toys made in 1 min
= 15360 ÷ 120
= 128
10 u + 28 = 128
10 u = 128 - 28
10 u = 100
1 u = 100 ÷ 10 = 10
Number of workers in the first group
= 1 u + 4
= 10 + 4
= 14
(b)
Number of workers in the second group
= 1 u
= 10
Answer(s): (a) 14; (b) 10