SOLUTION: For nonzero numbers a, b, and c, b is 1/3 of a, and c is twice b. What is the value of a^2/c^2??

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: For nonzero numbers a, b, and c, b is 1/3 of a, and c is twice b. What is the value of a^2/c^2??      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 939229: For nonzero numbers a, b, and c, b is 1/3 of a, and c is twice b. What is the value of a^2/c^2??
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
b+=+%281%2F3%29a => a+=+3b
and
c+=+2b
then
a%5E2%2Fc%5E2+=+%283b%29%5E2+%2F+%282b%29%5E2
a%5E2%2Fc%5E2++=+%283%2F2%29%5E2%28cross%28b%291%2Fcross%28b%291%29%5E2
a%5E2%2Fc%5E2++=+%283%2F2%29%5E2
a%5E2%2Fc%5E2+=+9%2F4
a%5E2%2Fc%5E2++=+2.25