In a factory, Machine A was turned on first and it produced 174 burger patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 burger patties Machine A produced, Machine B produced 5 burger patties. Machine B produced 55 less than
14 of the total number of burger patties produced. How many burger patties were produced altogether?
|
Make u the same (1) x 5 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 3 = (4) |
Total |
Before |
870 |
174 |
0 |
0 |
|
Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
After |
5 p + 275 |
1 p + 55 |
1 p - 55 |
3 p - 165 |
4 p |
From (3)
870 + 15 u = 5 p + 275
15 u = 5 p + 275 - 870
15 u = 5 p - 595
From (4)
0 + 15 u = 3 p - 165
15 u = 3 p - 165
(3) = (4)
5 p - 595 = 3 p - 165
5 p - 3 p = 595 - 165
2 p = 430
Number of burger patties that were produced altogether
= 4 p
= 4 x 430
= 1720
Answer(s): 1720