In a factory, Machine A was turned on first and it produced 198 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 20 less than
13 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 |
594 |
198 |
0 |
0 |
|
| Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
| After |
3 p + 60 |
1 p + 20 |
1 p - 20 |
1 p - 20 |
3 p |
From (3)
594 + 6 u = 3 p + 60
6 u = 3 p + 60 - 594
6 u = 3 p - 534
From (4)
0 + 6 u = 1 p - 20
6 u = 1 p - 20
(3) = (4)
3 p - 534 = 1 p - 20
3 p - 1 p = 534 - 20
2 p = 514
Number of hashbrowns that were produced altogether
= 3 p
= 3 x 514
= 1542
Answer(s): 1542
