In a factory, Machine A was turned on first and it produced 182 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 46 less than
14 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 |
910 |
182 |
0 |
0 |
|
Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
After |
5 p + 230 |
1 p + 46 |
1 p - 46 |
3 p - 138 |
4 p |
From (3)
910 + 15 u = 5 p + 230
15 u = 5 p + 230 - 910
15 u = 5 p - 680
From (4)
0 + 15 u = 3 p - 138
15 u = 3 p - 138
(3) = (4)
5 p - 680 = 3 p - 138
5 p - 3 p = 680 - 138
2 p = 542
Number of wontons that were produced altogether
= 4 p
= 4 x 542
= 2168
Answer(s): 2168