SOLUTION: given that a:b=3:1 and b:c=2:3,find the ratio of a:c?

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Question 347842: given that a:b=3:1 and b:c=2:3,find the ratio of a:c?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since a:b=3:1, we know that a%2Fb=3%2F1. Cross multiply to get a=3b. Then solve for 'b' to get b=a%2F3


In addition, we know that b:c=2:3 which tells us that b%2Fc=2%2F3. We can then plug in b=a%2F3 to get %28a%2F3%29%2Fc=2%2F3. From here, simplify the equation and get it into the form a%2Fc=k%2Fm where 'k' and 'm' are some expressions. I'll let you take it from here.