In a factory, Machine A was turned on first and it produced 131 hotdogs. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 hotdogs Machine A produced, Machine B produced 5 hotdogs. Machine B produced 53 less than
17 of the total number of hotdogs produced. How many hotdogs 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 |
655 |
131 |
0 |
0 |
|
Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
After |
5 p + 265 |
1 p + 53 |
1 p - 53 |
2 p - 106 |
7 p |
From (3)
655 + 10 u = 5 p + 265
10 u = 5 p + 265 - 655
10 u = 5 p - 390
From (4)
0 + 10 u = 2 p - 106
10 u = 2 p - 106
(3) = (4)
5 p - 390 = 2 p - 106
5 p - 2 p = 390 - 106
3 p = 284
Number of hotdogs that were produced altogether
= 7 p
= 7 x 284
= 1988
Answer(s): 1988