In a factory, Machine A was turned on first and it produced 197 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 37 less than
15 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 |
985 |
197 |
0 |
0 |
|
Change |
+ 20 u |
+ 4 u |
+ 5 u |
+ 20 u |
|
After |
5 p + 185 |
1 p + 37 |
1 p - 37 |
4 p - 148 |
5 p |
From (3)
985 + 20 u = 5 p + 185
20 u = 5 p + 185 - 985
20 u = 5 p - 800
From (4)
0 + 20 u = 4 p - 148
20 u = 4 p - 148
(3) = (4)
5 p - 800 = 4 p - 148
5 p - 4 p = 800 - 148
1 p = 652
Number of fish cakes that were produced altogether
= 5 p
= 5 x 652
= 3260
Answer(s): 3260