In a factory, Machine A was turned on first and it produced 248 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 51 less than
27 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 |
1240 |
248 |
0 |
0 |
|
Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
After |
10 p + 255 |
2 p + 51 |
2 p - 51 |
6 p - 153 |
7 p |
From (3)
1240 + 15 u = 10 p + 255
15 u = 10 p + 255 - 1240
15 u = 10 p - 985
From (4)
0 + 15 u = 6 p - 153
15 u = 6 p - 153
(3) = (4)
10 p - 985 = 6 p - 153
10 p - 6 p = 985 - 153
4 p = 832
Number of wontons that were produced altogether
= 7 p
= 7 x 832
= 5824
Answer(s): 5824