Question 1:
(6x+1)/7 = (18x-2)/14
Multiply both sides by 14
2(6x+1)=18x-2
12x+2=18x-2
Subtract both sides by 12x and add both sides by 2
4=6x
Divide both sides by 6
x = 2/3
Question 2:
Add all the components
2+3+4=9
Divide that from 63
63/9 = 7
Multiply that by 3, Alana's portion.
7*3 = 21
Question 3:
3ab : 27ab
Divide both sides by 3ab
1 : 9
That's one answer.
Multiply both sides by 2
2 : 18
That's another answer.
Multiply both sides of 1:9 by 9a
9a : 81a
That's another answer, and that's all of it.
Hope this helps! :)
