In a factory, Machine A was turned on first and it produced 150 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 54 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 |
450 |
150 |
0 |
0 |
|
| Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
| After |
3 p + 162 |
1 p + 54 |
1 p - 54 |
1 p - 54 |
4 p |
From (3)
450 + 6 u = 3 p + 162
6 u = 3 p + 162 - 450
6 u = 3 p - 288
From (4)
0 + 6 u = 1 p - 54
6 u = 1 p - 54
(3) = (4)
3 p - 288 = 1 p - 54
3 p - 1 p = 288 - 54
2 p = 234
Number of hashbrowns that were produced altogether
= 4 p
= 4 x 234
= 936
Answer(s): 936
