In a factory, Machine A was turned on first and it produced 284 fishballs. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 fishballs Machine A produced, Machine B produced 5 fishballs. Machine B produced 37 less than
14 of the total number of fishballs produced. How many fishballs 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 |
1420 |
284 |
0 |
0 |
|
| Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
| After |
5 p + 185 |
1 p + 37 |
1 p - 37 |
2 p - 74 |
4 p |
From (3)
1420 + 10 u = 5 p + 185
10 u = 5 p + 185 - 1420
10 u = 5 p - 1235
From (4)
0 + 10 u = 2 p - 74
10 u = 2 p - 74
(3) = (4)
5 p - 1235 = 2 p - 74
5 p - 2 p = 1235 - 74
3 p = 1161
Number of fishballs that were produced altogether
= 4 p
= 4 x 1161
= 4644
Answer(s): 4644
