In a factory, Machine A was turned on first and it produced 294 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 wontons Machine A produced, Machine B produced 5 wontons. Machine B produced 51 less than
16 of the total number of wontons produced. How many wontons were produced altogether?
|
Make u the same (1) x 5 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 3 = (4) |
Total |
Before |
1470 |
294 |
0 |
0 |
|
Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
After |
5 p + 255 |
1 p + 51 |
1 p - 51 |
3 p - 153 |
6 p |
From (3)
1470 + 15 u = 5 p + 255
15 u = 5 p + 255 - 1470
15 u = 5 p - 1215
From (4)
0 + 15 u = 3 p - 153
15 u = 3 p - 153
(3) = (4)
5 p - 1215 = 3 p - 153
5 p - 3 p = 1215 - 153
2 p = 1062
Number of wontons that were produced altogether
= 6 p
= 6 x 1062
= 6372
Answer(s): 6372