In a factory, Machine A was turned on first and it produced 146 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 6 crabsticks. Machine B produced 53 less than
16 of the total number of crabsticks produced. How many crabsticks 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 |
438 |
146 |
0 |
0 |
|
| Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
| After |
3 p + 159 |
1 p + 53 |
1 p - 53 |
1 p - 53 |
6 p |
From (3)
438 + 6 u = 3 p + 159
6 u = 3 p + 159 - 438
6 u = 3 p - 279
From (4)
0 + 6 u = 1 p - 53
6 u = 1 p - 53
(3) = (4)
3 p - 279 = 1 p - 53
3 p - 1 p = 279 - 53
2 p = 226
Number of crabsticks that were produced altogether
= 6 p
= 6 x 226
= 1356
Answer(s): 1356
