In a factory, Machine A was turned on first and it produced 200 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 53 less than
37 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 2 = (4) |
Total |
| Before |
600 |
200 |
0 |
0 |
|
| Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
| After |
9 p + 159 |
3 p + 53 |
3 p - 53 |
6 p - 106 |
7 p |
From (3)
600 + 12 u = 9 p + 159
12 u = 9 p + 159 - 600
12 u = 9 p - 441
From (4)
0 + 12 u = 6 p - 106
12 u = 6 p - 106
(3) = (4)
9 p - 441 = 6 p - 106
9 p - 6 p = 441 - 106
3 p = 335
Number of wontons that were produced altogether
= 7 p
= 7 x 335
= 2345
Answer(s): 2345
