In a factory, Machine A was turned on first and it produced 153 burger patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 burger patties Machine A produced, Machine B produced 5 burger patties. Machine B produced 51 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 3 = (4) |
Total |
| Before |
765 |
153 |
0 |
0 |
|
| Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
| After |
5 p + 255 |
1 p + 51 |
1 p - 51 |
3 p - 153 |
2 p |
From (3)
765 + 15 u = 5 p + 255
15 u = 5 p + 255 - 765
15 u = 5 p - 510
From (4)
0 + 15 u = 3 p - 153
15 u = 3 p - 153
(3) = (4)
5 p - 510 = 3 p - 153
5 p - 3 p = 510 - 153
2 p = 357
Number of burger patties that were produced altogether
= 2 p
= 2 x 357
= 714
Answer(s): 714
