In a factory, Machine A was turned on first and it produced 279 veggie patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 veggie patties Machine A produced, Machine B produced 6 veggie patties. Machine B produced 56 less than
16 of the total number of veggie patties produced. How many veggie patties were produced altogether?
| |
Make u the same
(1) x 2 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 1 = (4) |
Total |
| Before |
558 |
279 |
0 |
0 |
|
| Change |
+ 6 u |
+ 3 u |
+ 6 u |
+ 6 u |
|
| After |
2 p + 112 |
1 p + 56 |
1 p - 56 |
1 p - 56 |
6 p |
From (3)
558 + 6 u = 2 p + 112
6 u = 2 p + 112 - 558
6 u = 2 p - 446
From (4)
0 + 6 u = 1 p - 56
6 u = 1 p - 56
(3) = (4)
2 p - 446 = 1 p - 56
2 p - 1 p = 446 - 56
1 p = 390
Number of veggie patties that were produced altogether
= 6 p
= 6 x 390
= 2340
Answer(s): 2340
