In a factory, Machine A was turned on first and it produced 225 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 51 less than
13 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 |
1125 |
225 |
0 |
0 |
|
Change |
+ 20 u |
+ 4 u |
+ 5 u |
+ 20 u |
|
After |
5 p + 255 |
1 p + 51 |
1 p - 51 |
4 p - 204 |
3 p |
From (3)
1125 + 20 u = 5 p + 255
20 u = 5 p + 255 - 1125
20 u = 5 p - 870
From (4)
0 + 20 u = 4 p - 204
20 u = 4 p - 204
(3) = (4)
5 p - 870 = 4 p - 204
5 p - 4 p = 870 - 204
1 p = 666
Number of hashbrowns that were produced altogether
= 3 p
= 3 x 666
= 1998
Answer(s): 1998