In a factory, Machine A was turned on first and it produced 267 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 3 wontons Machine A produced, Machine B produced 5 wontons. Machine B produced 32 less than
27 of the total number of wontons produced. How many wontons 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 |
1335 |
267 |
0 |
0 |
|
| Change |
+ 15 u |
+ 3 u |
+ 5 u |
+ 15 u |
|
| After |
10 p + 160 |
2 p + 32 |
2 p - 32 |
6 p - 96 |
7 p |
From (3)
1335 + 15 u = 10 p + 160
15 u = 10 p + 160 - 1335
15 u = 10 p - 1175
From (4)
0 + 15 u = 6 p - 96
15 u = 6 p - 96
(3) = (4)
10 p - 1175 = 6 p - 96
10 p - 6 p = 1175 - 96
4 p = 1079
Number of wontons that were produced altogether
= 7 p
= 7 x 1079
= 7553
Answer(s): 7553
