In a factory, Machine A was turned on first and it produced 120 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 5 wontons. Machine B produced 51 less than
23 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 2 = (4) |
Total |
Before |
600 |
120 |
0 |
0 |
|
Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
After |
10 p + 255 |
2 p + 51 |
2 p - 51 |
4 p - 102 |
3 p |
From (3)
600 + 10 u = 10 p + 255
10 u = 10 p + 255 - 600
10 u = 10 p - 345
From (4)
0 + 10 u = 4 p - 102
10 u = 4 p - 102
(3) = (4)
10 p - 345 = 4 p - 102
10 p - 4 p = 345 - 102
6 p = 243
Number of wontons that were produced altogether
= 3 p
= 3 x 243
= 729
Answer(s): 729