In a factory, Machine A was turned on first and it produced 262 dumplings. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 dumplings Machine A produced, Machine B produced 6 dumplings. Machine B produced 63 less than
17 of the total number of dumplings produced. How many dumplings 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 |
786 |
262 |
0 |
0 |
|
| Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
| After |
3 p + 189 |
1 p + 63 |
1 p - 63 |
2 p - 126 |
7 p |
From (3)
786 + 12 u = 3 p + 189
12 u = 3 p + 189 - 786
12 u = 3 p - 597
From (4)
0 + 12 u = 2 p - 126
12 u = 2 p - 126
(3) = (4)
3 p - 597 = 2 p - 126
3 p - 2 p = 597 - 126
1 p = 471
Number of dumplings that were produced altogether
= 7 p
= 7 x 471
= 3297
Answer(s): 3297
