In a factory, Machine A was turned on first and it produced 270 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 5 fishballs. Machine B produced 57 less than
34 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 4 = (4) |
Total |
Before |
1350 |
270 |
0 |
0 |
|
Change |
+ 20 u |
+ 4 u |
+ 5 u |
+ 20 u |
|
After |
15 p + 285 |
3 p + 57 |
3 p - 57 |
12 p - 228 |
4 p |
From (3)
1350 + 20 u = 15 p + 285
20 u = 15 p + 285 - 1350
20 u = 15 p - 1065
From (4)
0 + 20 u = 12 p - 228
20 u = 12 p - 228
(3) = (4)
15 p - 1065 = 12 p - 228
15 p - 12 p = 1065 - 228
3 p = 837
Number of fishballs that were produced altogether
= 4 p
= 4 x 837
= 3348
Answer(s): 3348