Question

if 6a-8b=0 and c=12b, the ratio of a to c is equivalent to the ratio of one to what number?

Answer 1

6a-8b = 0
6a = 8b
3a=4b
a = 4/3b
c = 12b
a/c = (4/3)/12 = 1/9
a:c = 1:9

Answer 2

solve for b
b = c / 12

plug into 6a-8b=0
6a- (8/12) c = 0

6a = (2/3) c

a/c = 1/9

ratio of one to 9