In a factory, Machine A was turned on first and it produced 248 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 23 less than
14 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 |
1240 |
248 |
0 |
0 |
|
Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
After |
5 p + 115 |
1 p + 23 |
1 p - 23 |
2 p - 46 |
4 p |
From (3)
1240 + 10 u = 5 p + 115
10 u = 5 p + 115 - 1240
10 u = 5 p - 1125
From (4)
0 + 10 u = 2 p - 46
10 u = 2 p - 46
(3) = (4)
5 p - 1125 = 2 p - 46
5 p - 2 p = 1125 - 46
3 p = 1079
Number of burger patties that were produced altogether
= 4 p
= 4 x 1079
= 4316
Answer(s): 4316