In a factory, Machine A was turned on first and it produced 274 crabsticks. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 crabsticks Machine A produced, Machine B produced 5 crabsticks. Machine B produced 21 less than
35 of the total number of crabsticks produced. How many crabsticks were produced altogether?
| |
Make u the same
(1) x 5 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 4 = (4) |
Total |
| Before |
1370 |
274 |
0 |
0 |
|
| Change |
+ 20 u |
+ 4 u |
+ 5 u |
+ 20 u |
|
| After |
15 p + 105 |
3 p + 21 |
3 p - 21 |
12 p - 84 |
5 p |
From (3)
1370 + 20 u = 15 p + 105
20 u = 15 p + 105 - 1370
20 u = 15 p - 1265
From (4)
0 + 20 u = 12 p - 84
20 u = 12 p - 84
(3) = (4)
15 p - 1265 = 12 p - 84
15 p - 12 p = 1265 - 84
3 p = 1181
Number of crabsticks that were produced altogether
= 5 p
= 5 x 1181
= 5905
Answer(s): 5905
