In a factory, Machine A was turned on first and it produced 287 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 60 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 |
861 |
287 |
0 |
0 |
|
Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
After |
9 p + 180 |
3 p + 60 |
3 p - 60 |
6 p - 120 |
5 p |
From (3)
861 + 12 u = 9 p + 180
12 u = 9 p + 180 - 861
12 u = 9 p - 681
From (4)
0 + 12 u = 6 p - 120
12 u = 6 p - 120
(3) = (4)
9 p - 681 = 6 p - 120
9 p - 6 p = 681 - 120
3 p = 561
Number of wontons that were produced altogether
= 5 p
= 5 x 561
= 2805
Answer(s): 2805