In a factory, Machine A was turned on first and it produced 109 veggie patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 veggie patties Machine A produced, Machine B produced 6 veggie patties. Machine B produced 36 less than
34 of the total number of veggie patties produced. How many veggie patties 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 |
327 |
109 |
0 |
0 |
|
Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
After |
9 p + 108 |
3 p + 36 |
3 p - 36 |
3 p - 36 |
4 p |
From (3)
327 + 6 u = 9 p + 108
6 u = 9 p + 108 - 327
6 u = 9 p - 219
From (4)
0 + 6 u = 3 p - 36
6 u = 3 p - 36
(3) = (4)
9 p - 219 = 3 p - 36
9 p - 3 p = 219 - 36
6 p = 183
Number of veggie patties that were produced altogether
= 4 p
= 4 x 183
= 732
Answer(s): 732