In a factory, Machine A was turned on first and it produced 190 nuggets. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 nuggets Machine A produced, Machine B produced 6 nuggets. Machine B produced 55 less than
37 of the total number of nuggets produced. How many nuggets were produced altogether?
| |
Make u the same
(1) x 2 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 1 = (4) |
Total |
| Before |
380 |
190 |
0 |
0 |
|
| Change |
+ 6 u |
+ 3 u |
+ 6 u |
+ 6 u |
|
| After |
6 p + 110 |
3 p + 55 |
3 p - 55 |
3 p - 55 |
7 p |
From (3)
380 + 6 u = 6 p + 110
6 u = 6 p + 110 - 380
6 u = 6 p - 270
From (4)
0 + 6 u = 3 p - 55
6 u = 3 p - 55
(3) = (4)
6 p - 270 = 3 p - 55
6 p - 3 p = 270 - 55
3 p = 215
Number of nuggets that were produced altogether
= 7 p
= 7 x 215
= 1505
Answer(s): 1505
