In a factory, Machine A was turned on first and it produced 118 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 39 less than
17 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 |
590 |
118 |
0 |
0 |
|
| Change |
+ 20 u |
+ 4 u |
+ 5 u |
+ 20 u |
|
| After |
5 p + 195 |
1 p + 39 |
1 p - 39 |
4 p - 156 |
7 p |
From (3)
590 + 20 u = 5 p + 195
20 u = 5 p + 195 - 590
20 u = 5 p - 395
From (4)
0 + 20 u = 4 p - 156
20 u = 4 p - 156
(3) = (4)
5 p - 395 = 4 p - 156
5 p - 4 p = 395 - 156
1 p = 239
Number of hashbrowns that were produced altogether
= 7 p
= 7 x 239
= 1673
Answer(s): 1673
