In a factory, Machine A was turned on first and it produced 149 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 70 less than
12 of the total number of wontons produced. How many wontons were produced altogether?
|
Make u the same (1) x 2 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 1 = (4) |
Total |
Before |
298 |
149 |
0 |
0 |
|
Change |
+ 6 u |
+ 3 u |
+ 6 u |
+ 6 u |
|
After |
2 p + 140 |
1 p + 70 |
1 p - 70 |
1 p - 70 |
2 p |
From (3)
298 + 6 u = 2 p + 140
6 u = 2 p + 140 - 298
6 u = 2 p - 158
From (4)
0 + 6 u = 1 p - 70
6 u = 1 p - 70
(3) = (4)
2 p - 158 = 1 p - 70
2 p - 1 p = 158 - 70
1 p = 88
Number of wontons that were produced altogether
= 2 p
= 2 x 88
= 176
Answer(s): 176