There are 2 groups of workers in a plant. There are 4 more workers in the first group than the second group. Each worker in the first group makes 8 toys in a minute but each worker in the second group makes only 2 toys in a minute. Both groups make a total of 30600 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 + 4 |
1 u |
Value |
8 |
2 |
Total value |
8 u + 32 |
2 u |
Number of workers in first group = 1 u + 4
Number of workers in second group = 1 u
Total number of toys made
= 8 u + 32 + 2 u
= 10 u + 32
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 30600 ÷ 300
= 102
10 u + 32 = 102
10 u = 102 - 32
10 u = 70
1 u = 70 ÷ 10 = 7
Number of workers in the first group
= 1 u + 4
= 7 + 4
= 11
(b)
Number of workers in the second group
= 1 u
= 7
Answer(s): (a) 11; (b) 7