In a factory, Machine A was turned on first and it produced 268 fish cakes. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 fish cakes Machine A produced, Machine B produced 6 fish cakes. Machine B produced 63 less than
13 of the total number of fish cakes produced. How many fish cakes 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 |
536 |
268 |
0 |
0 |
|
| Change |
+ 6 u |
+ 3 u |
+ 6 u |
+ 6 u |
|
| After |
2 p + 126 |
1 p + 63 |
1 p - 63 |
1 p - 63 |
3 p |
From (3)
536 + 6 u = 2 p + 126
6 u = 2 p + 126 - 536
6 u = 2 p - 410
From (4)
0 + 6 u = 1 p - 63
6 u = 1 p - 63
(3) = (4)
2 p - 410 = 1 p - 63
2 p - 1 p = 410 - 63
1 p = 347
Number of fish cakes that were produced altogether
= 3 p
= 3 x 347
= 1041
Answer(s): 1041
