In a factory, Machine A was turned on first and it produced 156 fish cakes. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 fish cakes Machine A produced, Machine B produced 5 fish cakes. Machine B produced 45 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 3 = (4) |
Total |
| Before |
780 |
156 |
0 |
0 |
|
| Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
| After |
5 p + 225 |
1 p + 45 |
1 p - 45 |
3 p - 135 |
7 p |
From (3)
780 + 15 u = 5 p + 225
15 u = 5 p + 225 - 780
15 u = 5 p - 555
From (4)
0 + 15 u = 3 p - 135
15 u = 3 p - 135
(3) = (4)
5 p - 555 = 3 p - 135
5 p - 3 p = 555 - 135
2 p = 420
Number of fish cakes that were produced altogether
= 7 p
= 7 x 420
= 2940
Answer(s): 2940
