In a factory, Machine A was turned on first and it produced 236 hashbrowns. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 hashbrowns Machine A produced, Machine B produced 6 hashbrowns. Machine B produced 43 less than
14 of the total number of hashbrowns produced. How many hashbrowns 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 |
708 |
236 |
0 |
0 |
|
Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
After |
3 p + 129 |
1 p + 43 |
1 p - 43 |
1 p - 43 |
4 p |
From (3)
708 + 6 u = 3 p + 129
6 u = 3 p + 129 - 708
6 u = 3 p - 579
From (4)
0 + 6 u = 1 p - 43
6 u = 1 p - 43
(3) = (4)
3 p - 579 = 1 p - 43
3 p - 1 p = 579 - 43
2 p = 536
Number of hashbrowns that were produced altogether
= 4 p
= 4 x 536
= 2144
Answer(s): 2144