In a factory, Machine A was turned on first and it produced 215 veggie patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 veggie patties Machine A produced, Machine B produced 6 veggie patties. Machine B produced 58 less than
37 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 2 = (4) |
Total |
| Before |
645 |
215 |
0 |
0 |
|
| Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
| After |
9 p + 174 |
3 p + 58 |
3 p - 58 |
6 p - 116 |
7 p |
From (3)
645 + 12 u = 9 p + 174
12 u = 9 p + 174 - 645
12 u = 9 p - 471
From (4)
0 + 12 u = 6 p - 116
12 u = 6 p - 116
(3) = (4)
9 p - 471 = 6 p - 116
9 p - 6 p = 471 - 116
3 p = 355
Number of veggie patties that were produced altogether
= 7 p
= 7 x 355
= 2485
Answer(s): 2485
