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 66 less than
25 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 |
6 p + 198 |
2 p + 66 |
2 p - 66 |
2 p - 66 |
5 p |
From (3)
693 + 6 u = 6 p + 198
6 u = 6 p + 198 - 693
6 u = 6 p - 495
From (4)
0 + 6 u = 2 p - 66
6 u = 2 p - 66
(3) = (4)
6 p - 495 = 2 p - 66
6 p - 2 p = 495 - 66
4 p = 429
Number of wontons that were produced altogether
= 5 p
= 5 x 429
= 2145
Answer(s): 2145
