In a factory, Machine A was turned on first and it produced 106 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 49 less than
15 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 |
530 |
106 |
0 |
0 |
|
| Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
| After |
5 p + 245 |
1 p + 49 |
1 p - 49 |
2 p - 98 |
5 p |
From (3)
530 + 10 u = 5 p + 245
10 u = 5 p + 245 - 530
10 u = 5 p - 285
From (4)
0 + 10 u = 2 p - 98
10 u = 2 p - 98
(3) = (4)
5 p - 285 = 2 p - 98
5 p - 2 p = 285 - 98
3 p = 187
Number of burger patties that were produced altogether
= 5 p
= 5 x 187
= 935
Answer(s): 935
