In a factory, Machine A was turned on first and it produced 210 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 43 less than
17 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 |
1050 |
210 |
0 |
0 |
|
Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
After |
5 p + 215 |
1 p + 43 |
1 p - 43 |
2 p - 86 |
7 p |
From (3)
1050 + 10 u = 5 p + 215
10 u = 5 p + 215 - 1050
10 u = 5 p - 835
From (4)
0 + 10 u = 2 p - 86
10 u = 2 p - 86
(3) = (4)
5 p - 835 = 2 p - 86
5 p - 2 p = 835 - 86
3 p = 749
Number of fish cakes that were produced altogether
= 7 p
= 7 x 749
= 5243
Answer(s): 5243