There are 2 groups of workers in a factory. There are 3 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 52500 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 + 3 |
1 u |
Value |
7 |
4 |
Total value |
7 u + 21 |
4 u |
Number of workers in first group = 1 u + 3
Number of workers in second group = 1 u
Total number of toys made
= 7 u + 21 + 4 u
= 11 u + 21
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 52500 ÷ 300
= 175
11 u + 21 = 175
11 u = 175 - 21
11 u = 154
1 u = 154 ÷ 11 = 14
Number of workers in the first group
= 1 u + 3
= 14 + 3
= 17
(b)
Number of workers in the second group
= 1 u
= 14
Answer(s): (a) 17; (b) 14