In a factory, Machine A was turned on first and it produced 163 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 67 less than
12 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 |
489 |
163 |
0 |
0 |
|
| Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
| After |
3 p + 201 |
1 p + 67 |
1 p - 67 |
1 p - 67 |
2 p |
From (3)
489 + 6 u = 3 p + 201
6 u = 3 p + 201 - 489
6 u = 3 p - 288
From (4)
0 + 6 u = 1 p - 67
6 u = 1 p - 67
(3) = (4)
3 p - 288 = 1 p - 67
3 p - 1 p = 288 - 67
2 p = 221
Number of hashbrowns that were produced altogether
= 2 p
= 2 x 221
= 442
Answer(s): 442
