In a factory, Machine A was turned on first and it produced 264 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 55 less than
18 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 |
1320 |
264 |
0 |
0 |
|
| Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
| After |
5 p + 275 |
1 p + 55 |
1 p - 55 |
3 p - 165 |
8 p |
From (3)
1320 + 15 u = 5 p + 275
15 u = 5 p + 275 - 1320
15 u = 5 p - 1045
From (4)
0 + 15 u = 3 p - 165
15 u = 3 p - 165
(3) = (4)
5 p - 1045 = 3 p - 165
5 p - 3 p = 1045 - 165
2 p = 880
Number of wontons that were produced altogether
= 8 p
= 8 x 880
= 7040
Answer(s): 7040
