In a factory, Machine A was turned on first and it produced 270 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 5 fish cakes. Machine B produced 48 less than
14 of the total number of fish cakes produced. How many fish cakes were produced altogether?
|
Make u the same (1) x 5 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 2 = (4) |
Total |
Before |
1350 |
270 |
0 |
0 |
|
Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
After |
5 p + 240 |
1 p + 48 |
1 p - 48 |
2 p - 96 |
4 p |
From (3)
1350 + 10 u = 5 p + 240
10 u = 5 p + 240 - 1350
10 u = 5 p - 1110
From (4)
0 + 10 u = 2 p - 96
10 u = 2 p - 96
(3) = (4)
5 p - 1110 = 2 p - 96
5 p - 2 p = 1110 - 96
3 p = 1014
Number of fish cakes that were produced altogether
= 4 p
= 4 x 1014
= 4056
Answer(s): 4056