In a factory, Machine A was turned on first and it produced 100 crabsticks. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 crabsticks Machine A produced, Machine B produced 6 crabsticks. Machine B produced 35 less than
17 of the total number of crabsticks produced. How many crabsticks 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 |
200 |
100 |
0 |
0 |
|
| Change |
+ 6 u |
+ 3 u |
+ 6 u |
+ 6 u |
|
| After |
2 p + 70 |
1 p + 35 |
1 p - 35 |
1 p - 35 |
7 p |
From (3)
200 + 6 u = 2 p + 70
6 u = 2 p + 70 - 200
6 u = 2 p - 130
From (4)
0 + 6 u = 1 p - 35
6 u = 1 p - 35
(3) = (4)
2 p - 130 = 1 p - 35
2 p - 1 p = 130 - 35
1 p = 95
Number of crabsticks that were produced altogether
= 7 p
= 7 x 95
= 665
Answer(s): 665
