In a factory, Machine A was turned on first and it produced 179 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 45 less than
13 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 |
895 |
179 |
0 |
0 |
|
Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
After |
5 p + 225 |
1 p + 45 |
1 p - 45 |
2 p - 90 |
3 p |
From (3)
895 + 10 u = 5 p + 225
10 u = 5 p + 225 - 895
10 u = 5 p - 670
From (4)
0 + 10 u = 2 p - 90
10 u = 2 p - 90
(3) = (4)
5 p - 670 = 2 p - 90
5 p - 2 p = 670 - 90
3 p = 580
Number of wontons that were produced altogether
= 3 p
= 3 x 580
= 1740
Answer(s): 1740