There are 2 groups of workers in a plant. 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 2 toys in a minute. Both groups make a total of 19800 toys in 3 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 |
2 |
Total value |
7 u + 56 |
2 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 + 2 u
= 9 u + 56
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 19800 ÷ 180
= 110
9 u + 56 = 110
9 u = 110 - 56
9 u = 54
1 u = 54 ÷ 9 = 6
Number of workers in the first group
= 1 u + 8
= 6 + 8
= 14
(b)
Number of workers in the second group
= 1 u
= 6
Answer(s): (a) 14; (b) 6