In a factory, Machine A was turned on first and it produced 195 veggie patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 veggie patties Machine A produced, Machine B produced 5 veggie patties. Machine B produced 63 less than
16 of the total number of veggie patties produced. How many veggie patties 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 |
975 |
195 |
0 |
0 |
|
| Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
| After |
5 p + 315 |
1 p + 63 |
1 p - 63 |
3 p - 189 |
6 p |
From (3)
975 + 15 u = 5 p + 315
15 u = 5 p + 315 - 975
15 u = 5 p - 660
From (4)
0 + 15 u = 3 p - 189
15 u = 3 p - 189
(3) = (4)
5 p - 660 = 3 p - 189
5 p - 3 p = 660 - 189
2 p = 471
Number of veggie patties that were produced altogether
= 6 p
= 6 x 471
= 2826
Answer(s): 2826
