In a factory, Machine A was turned on first and it produced 104 hotdogs. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 hotdogs Machine A produced, Machine B produced 6 hotdogs. Machine B produced 21 less than
27 of the total number of hotdogs produced. How many hotdogs were produced altogether?
| |
Make u the same
(1) x 3 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 1 = (4) |
Total |
| Before |
312 |
104 |
0 |
0 |
|
| Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
| After |
6 p + 63 |
2 p + 21 |
2 p - 21 |
2 p - 21 |
7 p |
From (3)
312 + 6 u = 6 p + 63
6 u = 6 p + 63 - 312
6 u = 6 p - 249
From (4)
0 + 6 u = 2 p - 21
6 u = 2 p - 21
(3) = (4)
6 p - 249 = 2 p - 21
6 p - 2 p = 249 - 21
4 p = 228
Number of hotdogs that were produced altogether
= 7 p
= 7 x 228
= 1596
Answer(s): 1596
