In a factory, Machine A was turned on first and it produced 242 burger patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 burger patties Machine A produced, Machine B produced 5 burger patties. Machine B produced 56 less than
12 of the total number of burger patties produced. How many burger patties were produced altogether?
|
Make u the same (1) x 5 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 2 = (4) |
Total |
Before |
1210 |
242 |
0 |
0 |
|
Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
After |
5 p + 280 |
1 p + 56 |
1 p - 56 |
2 p - 112 |
2 p |
From (3)
1210 + 10 u = 5 p + 280
10 u = 5 p + 280 - 1210
10 u = 5 p - 930
From (4)
0 + 10 u = 2 p - 112
10 u = 2 p - 112
(3) = (4)
5 p - 930 = 2 p - 112
5 p - 2 p = 930 - 112
3 p = 818
Number of burger patties that were produced altogether
= 2 p
= 2 x 818
= 1636
Answer(s): 1636