In a factory, Machine A was turned on first and it produced 240 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 6 hotdogs. Machine B produced 70 less than
34 of the total number of hotdogs produced. How many hotdogs were produced altogether?
| |
Make u the same
(1) x 3 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 2 = (4) |
Total |
| Before |
720 |
240 |
0 |
0 |
|
| Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
| After |
9 p + 210 |
3 p + 70 |
3 p - 70 |
6 p - 140 |
4 p |
From (3)
720 + 12 u = 9 p + 210
12 u = 9 p + 210 - 720
12 u = 9 p - 510
From (4)
0 + 12 u = 6 p - 140
12 u = 6 p - 140
(3) = (4)
9 p - 510 = 6 p - 140
9 p - 6 p = 510 - 140
3 p = 370
Number of hotdogs that were produced altogether
= 4 p
= 4 x 370
= 1480
Answer(s): 1480
