There are 2 groups of workers in a factory. There are 6 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 36480 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 + 6 |
1 u |
Value |
7 |
4 |
Total value |
7 u + 42 |
4 u |
Number of workers in first group = 1 u + 6
Number of workers in second group = 1 u
Total number of toys made
= 7 u + 42 + 4 u
= 11 u + 42
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 36480 ÷ 240
= 152
11 u + 42 = 152
11 u = 152 - 42
11 u = 110
1 u = 110 ÷ 11 = 10
Number of workers in the first group
= 1 u + 6
= 10 + 6
= 16
(b)
Number of workers in the second group
= 1 u
= 10
Answer(s): (a) 16; (b) 10