In a factory, Machine A was turned on first and it produced 215 nuggets. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 nuggets Machine A produced, Machine B produced 6 nuggets. Machine B produced 60 less than
34 of the total number of nuggets produced. How many nuggets were produced altogether?
| |
Make u the same
(1) x 3 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 1 = (4) |
Total |
| Before |
645 |
215 |
0 |
0 |
|
| Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
| After |
9 p + 180 |
3 p + 60 |
3 p - 60 |
3 p - 60 |
4 p |
From (3)
645 + 6 u = 9 p + 180
6 u = 9 p + 180 - 645
6 u = 9 p - 465
From (4)
0 + 6 u = 3 p - 60
6 u = 3 p - 60
(3) = (4)
9 p - 465 = 3 p - 60
9 p - 3 p = 465 - 60
6 p = 405
Number of nuggets that were produced altogether
= 4 p
= 4 x 405
= 1620
Answer(s): 1620
