Working out problems using Algebra

Algebra Level 2

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

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

Mikael Bashir by Mikael Bashir , 16, United Kingdom

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1 solution

Mikael Bashir
May 7, 2018

Since the product of c and 3 is b, we know that 3c = b, and we also know that c = b 3 \frac{b}{3} . The question asks us what the sum of c + 3 is in terms of b. We know that c = b 3 \frac{b}{3} , and so can substitute c with b 3 \frac{b}{3} to get c + 3 = b 3 \frac{b}{3} + 3

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