In a factory, Machine A was turned on first and it produced 107 fish cakes. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 fish cakes Machine A produced, Machine B produced 6 fish cakes. Machine B produced 68 less than
12 of the total number of fish cakes produced. How many fish cakes 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 |
321 |
107 |
0 |
0 |
|
Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
After |
3 p + 204 |
1 p + 68 |
1 p - 68 |
2 p - 136 |
2 p |
From (3)
321 + 12 u = 3 p + 204
12 u = 3 p + 204 - 321
12 u = 3 p - 117
From (4)
0 + 12 u = 2 p - 136
12 u = 2 p - 136
(3) = (4)
3 p - 117 = 2 p - 136
3 p - 2 p = 117 - 136
1 p = -19
Number of fish cakes that were produced altogether
= 2 p
= 2 x -19
= -38
Answer(s): -38