Question

If the average of 2 and p is equal to the average of 1,6, and p, what is the value of p

Answer 1

Answer:

p = 8

Step-by-step explanation:

$\frac{2+p}{2}=\frac{1+6+p}{3}\\\\\frac{2+p}{2}=\frac{7+p}{3}$

Cross multiply

 (2+p) * 3 = (7 + p) * 2          {Use distributive rule}

2*3 + p*3 = 7*2 + p *2

    6+ 3p   = 14 + 2p          {subtract 2p form both sides}

6 + 3p - 2p= 14

      6 + p  = 14                {Subtract 6 form both sides}

              p = 14 - 6

              p = 8