In a factory, Machine A was turned on first and it produced 203 hashbrowns. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 hashbrowns Machine A produced, Machine B produced 6 hashbrowns. Machine B produced 54 less than
37 of the total number of hashbrowns produced. How many hashbrowns 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 |
406 |
203 |
0 |
0 |
|
Change |
+ 6 u |
+ 3 u |
+ 6 u |
+ 6 u |
|
After |
6 p + 108 |
3 p + 54 |
3 p - 54 |
3 p - 54 |
7 p |
From (3)
406 + 6 u = 6 p + 108
6 u = 6 p + 108 - 406
6 u = 6 p - 298
From (4)
0 + 6 u = 3 p - 54
6 u = 3 p - 54
(3) = (4)
6 p - 298 = 3 p - 54
6 p - 3 p = 298 - 54
3 p = 244
Number of hashbrowns that were produced altogether
= 7 p
= 7 x 244
= 1708
Answer(s): 1708