In a factory, Machine A was turned on first and it produced 117 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 67 less than
13 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 |
234 |
117 |
0 |
0 |
|
| Change |
+ 6 u |
+ 3 u |
+ 6 u |
+ 6 u |
|
| After |
2 p + 134 |
1 p + 67 |
1 p - 67 |
1 p - 67 |
3 p |
From (3)
234 + 6 u = 2 p + 134
6 u = 2 p + 134 - 234
6 u = 2 p - 100
From (4)
0 + 6 u = 1 p - 67
6 u = 1 p - 67
(3) = (4)
2 p - 100 = 1 p - 67
2 p - 1 p = 100 - 67
1 p = 33
Number of veggie patties that were produced altogether
= 3 p
= 3 x 33
= 99
Answer(s): 99
