In a factory, Machine A was turned on first and it produced 172 dumplings. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 dumplings Machine A produced, Machine B produced 6 dumplings. Machine B produced 60 less than
38 of the total number of dumplings produced. How many dumplings were produced altogether?
| |
Make u the same
(1) x 2 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 1 = (4) |
Total |
| Before |
344 |
172 |
0 |
0 |
|
| Change |
+ 6 u |
+ 3 u |
+ 6 u |
+ 6 u |
|
| After |
6 p + 120 |
3 p + 60 |
3 p - 60 |
3 p - 60 |
8 p |
From (3)
344 + 6 u = 6 p + 120
6 u = 6 p + 120 - 344
6 u = 6 p - 224
From (4)
0 + 6 u = 3 p - 60
6 u = 3 p - 60
(3) = (4)
6 p - 224 = 3 p - 60
6 p - 3 p = 224 - 60
3 p = 164
Number of dumplings that were produced altogether
= 8 p
= 8 x 164
= 1312
Answer(s): 1312
