In a factory, Machine A was turned on first and it produced 264 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 53 less than
34 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 |
1320 |
264 |
0 |
0 |
|
| Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
| After |
15 p + 265 |
3 p + 53 |
3 p - 53 |
9 p - 159 |
4 p |
From (3)
1320 + 15 u = 15 p + 265
15 u = 15 p + 265 - 1320
15 u = 15 p - 1055
From (4)
0 + 15 u = 9 p - 159
15 u = 9 p - 159
(3) = (4)
15 p - 1055 = 9 p - 159
15 p - 9 p = 1055 - 159
6 p = 896
Number of veggie patties that were produced altogether
= 4 p
= 4 x 896
= 3584
Answer(s): 3584
