In a factory, Machine A was turned on first and it produced 114 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 6 fishballs. Machine B produced 47 less than
27 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 1 = (4) |
Total |
Before |
342 |
114 |
0 |
0 |
|
Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
After |
6 p + 141 |
2 p + 47 |
2 p - 47 |
2 p - 47 |
7 p |
From (3)
342 + 6 u = 6 p + 141
6 u = 6 p + 141 - 342
6 u = 6 p - 201
From (4)
0 + 6 u = 2 p - 47
6 u = 2 p - 47
(3) = (4)
6 p - 201 = 2 p - 47
6 p - 2 p = 201 - 47
4 p = 154
Number of fishballs that were produced altogether
= 7 p
= 7 x 154
= 1078
Answer(s): 1078