An algebra problem by Abhyudaya Apoorva

Algebra Level 1

For all real numbers b b and c c such that the product of c c and 3 is b b , which of the following expressions represents the sum of c c and 3 in terms of b b ?

b + 3 3 \frac{b + 3}{3} 3 ( b + 3 ) 3(b + 3) b 3 + 3 \frac{b}{3} + 3 b + 3 b +3 3 b + 3 3b + 3

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1 solution

Abhyudaya Apoorva
Dec 28, 2016

First let us set up the equation we are told—that the product of c and 3 is b.

3c=b

Now we must isolate c so that we can add its value to 3.

3c=b

c = b/3

Finally, let us add this value to 3.

(b/3) + 3,
So our final answer is (b/3)+3

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