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 5 fish cakes. Machine B produced 30 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 4 = (4) |
Total |
| Before |
535 |
107 |
0 |
0 |
|
| Change |
+ 20 u |
+ 4 u |
+ 5 u |
+ 20 u |
|
| After |
5 p + 150 |
1 p + 30 |
1 p - 30 |
4 p - 120 |
4 p |
From (3)
535 + 20 u = 5 p + 150
20 u = 5 p + 150 - 535
20 u = 5 p - 385
From (4)
0 + 20 u = 4 p - 120
20 u = 4 p - 120
(3) = (4)
5 p - 385 = 4 p - 120
5 p - 4 p = 385 - 120
1 p = 265
Number of fish cakes that were produced altogether
= 4 p
= 4 x 265
= 1060
Answer(s): 1060
