If the sum of x and y is z and the average of m, n, and p is q, find t

Question

If the sum of x and y is z and the average of m, n, and p is q, find the value of x + y + m + n + p in terms of z and q.

(A) 2z + 3q
(B) z + 3q
(C) z + z + q/3
(D) z/2 + q/3
(E) none of these

imeanup · Answer

x + y = z

m + n + p = 3q

x + y + m + n + p= z + 3q

Ans B

BrentGMATPrepNow · Answer

The sum of x and y is z  
So:   x + y = z

The average of m, n, and p is q  
So: (m + n + p)/3 = q
Multiply both sides of the equation by 3 to get:   m + n + p = 3q

Find the value of x + y + m + n + p in terms of z and q.  
So,   x + y  +  m + n + p   =   z   +   3q

Answer: B

kntombat · Answer

x+y=z.
 
 \frac{m+n+p}{3}=q .

m+n+p=3q .

Therefore,  x+y+m+n+p= z+3q

Therefore, the OA is B  .

MathRevolution · Answer

x + y = z

=> m + n + p = 3q

=> x + y + z + m + n + p = z + 3q

Answer B

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