In a factory, Machine A was turned on first and it produced 130 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 43 less than
35 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 |
650 |
130 |
0 |
0 |
|
Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
After |
15 p + 215 |
3 p + 43 |
3 p - 43 |
9 p - 129 |
5 p |
From (3)
650 + 15 u = 15 p + 215
15 u = 15 p + 215 - 650
15 u = 15 p - 435
From (4)
0 + 15 u = 9 p - 129
15 u = 9 p - 129
(3) = (4)
15 p - 435 = 9 p - 129
15 p - 9 p = 435 - 129
6 p = 306
Number of wontons that were produced altogether
= 5 p
= 5 x 306
= 1530
Answer(s): 1530