In a factory, Machine A was turned on first and it produced 231 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 23 less than
16 of the total number of wontons produced. How many wontons were produced altogether?
|
Make u the same (1) x 3 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 1 = (4) |
Total |
Before |
693 |
231 |
0 |
0 |
|
Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
After |
3 p + 69 |
1 p + 23 |
1 p - 23 |
1 p - 23 |
6 p |
From (3)
693 + 6 u = 3 p + 69
6 u = 3 p + 69 - 693
6 u = 3 p - 624
From (4)
0 + 6 u = 1 p - 23
6 u = 1 p - 23
(3) = (4)
3 p - 624 = 1 p - 23
3 p - 1 p = 624 - 23
2 p = 601
Number of wontons that were produced altogether
= 6 p
= 6 x 601
= 3606
Answer(s): 3606