In a factory, Machine A was turned on first and it produced 210 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 5 hotdogs. Machine B produced 25 less than
23 of the total number of hotdogs produced. How many hotdogs were produced altogether?
| |
Make u the same
(1) x 5 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 2 = (4) |
Total |
| Before |
1050 |
210 |
0 |
0 |
|
| Change |
+ 10 u |
+ 2 u |
+ 5 u |
+ 10 u |
|
| After |
10 p + 125 |
2 p + 25 |
2 p - 25 |
4 p - 50 |
3 p |
From (3)
1050 + 10 u = 10 p + 125
10 u = 10 p + 125 - 1050
10 u = 10 p - 925
From (4)
0 + 10 u = 4 p - 50
10 u = 4 p - 50
(3) = (4)
10 p - 925 = 4 p - 50
10 p - 4 p = 925 - 50
6 p = 875
Number of hotdogs that were produced altogether
= 3 p
= 3 x 875
= 2625
Answer(s): 2625
