In a factory, Machine A was turned on first and it produced 251 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 61 less than
17 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 |
753 |
251 |
0 |
0 |
|
Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
After |
3 p + 183 |
1 p + 61 |
1 p - 61 |
1 p - 61 |
7 p |
From (3)
753 + 6 u = 3 p + 183
6 u = 3 p + 183 - 753
6 u = 3 p - 570
From (4)
0 + 6 u = 1 p - 61
6 u = 1 p - 61
(3) = (4)
3 p - 570 = 1 p - 61
3 p - 1 p = 570 - 61
2 p = 509
Number of veggie patties that were produced altogether
= 7 p
= 7 x 509
= 3563
Answer(s): 3563