In a factory, Machine A was turned on first and it produced 107 dumplings. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 dumplings Machine A produced, Machine B produced 5 dumplings. Machine B produced 27 less than
38 of the total number of dumplings produced. How many dumplings were produced altogether?
| |
Make u the same
(1) x 5 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 2 = (4) |
Total |
| Before |
535 |
107 |
0 |
0 |
|
| Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
| After |
15 p + 135 |
3 p + 27 |
3 p - 27 |
6 p - 54 |
8 p |
From (3)
535 + 10 u = 15 p + 135
10 u = 15 p + 135 - 535
10 u = 15 p - 400
From (4)
0 + 10 u = 6 p - 54
10 u = 6 p - 54
(3) = (4)
15 p - 400 = 6 p - 54
15 p - 6 p = 400 - 54
9 p = 346
Number of dumplings that were produced altogether
= 8 p
= 8 x 346
= 2768
Answer(s): 2768
