In a factory, Machine A was turned on first and it produced 148 hashbrowns. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 hashbrowns Machine A produced, Machine B produced 5 hashbrowns. Machine B produced 47 less than
27 of the total number of hashbrowns produced. How many hashbrowns 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 |
740 |
148 |
0 |
0 |
|
| Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
| After |
10 p + 235 |
2 p + 47 |
2 p - 47 |
6 p - 141 |
7 p |
From (3)
740 + 15 u = 10 p + 235
15 u = 10 p + 235 - 740
15 u = 10 p - 505
From (4)
0 + 15 u = 6 p - 141
15 u = 6 p - 141
(3) = (4)
10 p - 505 = 6 p - 141
10 p - 6 p = 505 - 141
4 p = 364
Number of hashbrowns that were produced altogether
= 7 p
= 7 x 364
= 2548
Answer(s): 2548
