In a factory, Machine A was turned on first and it produced 208 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 20 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 2 = (4) |
Total |
| Before |
1040 |
208 |
0 |
0 |
|
| Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
| After |
5 p + 100 |
1 p + 20 |
1 p - 20 |
2 p - 40 |
4 p |
From (3)
1040 + 10 u = 5 p + 100
10 u = 5 p + 100 - 1040
10 u = 5 p - 940
From (4)
0 + 10 u = 2 p - 40
10 u = 2 p - 40
(3) = (4)
5 p - 940 = 2 p - 40
5 p - 2 p = 940 - 40
3 p = 900
Number of wontons that were produced altogether
= 4 p
= 4 x 900
= 3600
Answer(s): 3600
