In a factory, Machine A was turned on first and it produced 262 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 59 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 |
1310 |
262 |
0 |
0 |
|
Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
After |
10 p + 295 |
2 p + 59 |
2 p - 59 |
6 p - 177 |
7 p |
From (3)
1310 + 15 u = 10 p + 295
15 u = 10 p + 295 - 1310
15 u = 10 p - 1015
From (4)
0 + 15 u = 6 p - 177
15 u = 6 p - 177
(3) = (4)
10 p - 1015 = 6 p - 177
10 p - 6 p = 1015 - 177
4 p = 838
Number of wontons that were produced altogether
= 7 p
= 7 x 838
= 5866
Answer(s): 5866