In a factory, Machine A was turned on first and it produced 279 hashbrowns. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 hashbrowns Machine A produced, Machine B produced 5 hashbrowns. Machine B produced 70 less than
27 of the total number of hashbrowns produced. How many hashbrowns were produced altogether?
| |
Make u the same
(1) x 5 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 4 = (4) |
Total |
| Before |
1395 |
279 |
0 |
0 |
|
| Change |
+ 20 u |
+ 4 u |
+ 5 u |
+ 20 u |
|
| After |
10 p + 350 |
2 p + 70 |
2 p - 70 |
8 p - 280 |
7 p |
From (3)
1395 + 20 u = 10 p + 350
20 u = 10 p + 350 - 1395
20 u = 10 p - 1045
From (4)
0 + 20 u = 8 p - 280
20 u = 8 p - 280
(3) = (4)
10 p - 1045 = 8 p - 280
10 p - 8 p = 1045 - 280
2 p = 765
Number of hashbrowns that were produced altogether
= 7 p
= 7 x 765
= 5355
Answer(s): 5355
