In a factory, Machine A was turned on first and it produced 214 crabsticks. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 crabsticks Machine A produced, Machine B produced 5 crabsticks. Machine B produced 56 less than
12 of the total number of crabsticks produced. How many crabsticks 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 |
1070 |
214 |
0 |
0 |
|
| Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
| After |
5 p + 280 |
1 p + 56 |
1 p - 56 |
2 p - 112 |
2 p |
From (3)
1070 + 10 u = 5 p + 280
10 u = 5 p + 280 - 1070
10 u = 5 p - 790
From (4)
0 + 10 u = 2 p - 112
10 u = 2 p - 112
(3) = (4)
5 p - 790 = 2 p - 112
5 p - 2 p = 790 - 112
3 p = 678
Number of crabsticks that were produced altogether
= 2 p
= 2 x 678
= 1356
Answer(s): 1356
