In a factory, Machine A was turned on first and it produced 266 fish cakes. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 fish cakes Machine A produced, Machine B produced 6 fish cakes. Machine B produced 60 less than
35 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 1 = (4) |
Total |
| Before |
798 |
266 |
0 |
0 |
|
| Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
| After |
9 p + 180 |
3 p + 60 |
3 p - 60 |
3 p - 60 |
5 p |
From (3)
798 + 6 u = 9 p + 180
6 u = 9 p + 180 - 798
6 u = 9 p - 618
From (4)
0 + 6 u = 3 p - 60
6 u = 3 p - 60
(3) = (4)
9 p - 618 = 3 p - 60
9 p - 3 p = 618 - 60
6 p = 558
Number of fish cakes that were produced altogether
= 5 p
= 5 x 558
= 2790
Answer(s): 2790
