In a factory, Machine A was turned on first and it produced 163 nuggets. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 nuggets Machine A produced, Machine B produced 6 nuggets. Machine B produced 34 less than
35 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 2 = (4) |
Total |
| Before |
489 |
163 |
0 |
0 |
|
| Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
| After |
9 p + 102 |
3 p + 34 |
3 p - 34 |
6 p - 68 |
5 p |
From (3)
489 + 12 u = 9 p + 102
12 u = 9 p + 102 - 489
12 u = 9 p - 387
From (4)
0 + 12 u = 6 p - 68
12 u = 6 p - 68
(3) = (4)
9 p - 387 = 6 p - 68
9 p - 6 p = 387 - 68
3 p = 319
Number of nuggets that were produced altogether
= 5 p
= 5 x 319
= 1595
Answer(s): 1595
