In a factory, Machine A was turned on first and it produced 221 fishballs. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 fishballs Machine A produced, Machine B produced 6 fishballs. Machine B produced 66 less than
34 of the total number of fishballs produced. How many fishballs were produced altogether?
|
Make u the same (1) x 3 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 2 = (4) |
Total |
Before |
663 |
221 |
0 |
0 |
|
Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
After |
9 p + 198 |
3 p + 66 |
3 p - 66 |
6 p - 132 |
4 p |
From (3)
663 + 12 u = 9 p + 198
12 u = 9 p + 198 - 663
12 u = 9 p - 465
From (4)
0 + 12 u = 6 p - 132
12 u = 6 p - 132
(3) = (4)
9 p - 465 = 6 p - 132
9 p - 6 p = 465 - 132
3 p = 333
Number of fishballs that were produced altogether
= 4 p
= 4 x 333
= 1332
Answer(s): 1332