In a factory, Machine A was turned on first and it produced 221 burger patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 burger patties Machine A produced, Machine B produced 6 burger patties. Machine B produced 51 less than
13 of the total number of burger patties produced. How many burger 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 |
663 |
221 |
0 |
0 |
|
| Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
| After |
3 p + 153 |
1 p + 51 |
1 p - 51 |
2 p - 102 |
3 p |
From (3)
663 + 12 u = 3 p + 153
12 u = 3 p + 153 - 663
12 u = 3 p - 510
From (4)
0 + 12 u = 2 p - 102
12 u = 2 p - 102
(3) = (4)
3 p - 510 = 2 p - 102
3 p - 2 p = 510 - 102
1 p = 408
Number of burger patties that were produced altogether
= 3 p
= 3 x 408
= 1224
Answer(s): 1224
