In a factory, Machine A was turned on first and it produced 206 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 42 less than
35 of the total number of wontons produced. How many wontons were produced altogether?
|
Make u the same (1) x 3 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 2 = (4) |
Total |
Before |
618 |
206 |
0 |
0 |
|
Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
After |
9 p + 126 |
3 p + 42 |
3 p - 42 |
6 p - 84 |
5 p |
From (3)
618 + 12 u = 9 p + 126
12 u = 9 p + 126 - 618
12 u = 9 p - 492
From (4)
0 + 12 u = 6 p - 84
12 u = 6 p - 84
(3) = (4)
9 p - 492 = 6 p - 84
9 p - 6 p = 492 - 84
3 p = 408
Number of wontons that were produced altogether
= 5 p
= 5 x 408
= 2040
Answer(s): 2040