In a factory, Machine A was turned on first and it produced 194 hotdogs. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 hotdogs Machine A produced, Machine B produced 5 hotdogs. Machine B produced 60 less than
12 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 4 = (4) |
Total |
| Before |
970 |
194 |
0 |
0 |
|
| Change |
+ 20 u |
+ 4 u |
+ 5 u |
+ 20 u |
|
| After |
5 p + 300 |
1 p + 60 |
1 p - 60 |
4 p - 240 |
2 p |
From (3)
970 + 20 u = 5 p + 300
20 u = 5 p + 300 - 970
20 u = 5 p - 670
From (4)
0 + 20 u = 4 p - 240
20 u = 4 p - 240
(3) = (4)
5 p - 670 = 4 p - 240
5 p - 4 p = 670 - 240
1 p = 430
Number of hotdogs that were produced altogether
= 2 p
= 2 x 430
= 860
Answer(s): 860
