SOLUTION: If a + b = 3, b + c = 5, and a + c = 8, what is the average (arithmetic mean) of a, b, and c? Please explain how to approach and solve this problem. Thanks!

SOLUTION: If a + b = 3, b + c = 5, and a + c = 8, what is the average (arithmetic mean) of a, b, and c? Please explain how to approach and solve this problem. Thanks!

Algebra.Com

Question 474817: If a + b = 3, b + c = 5, and a + c = 8, what is the average (arithmetic mean) of a, b, and c?
Please explain how to approach and solve this problem. Thanks!
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Add all three equations to get

2a + 2b + 2c = 3 + 5 + 8 = 16

The average of a,b,c is (a+b+c)/3, so if we divide both sides of the equation by 6 we obtain our desired result

(2a + 2b + 2c)/6 = 16/6

(a + b + c)/3 = 8/3
RELATED QUESTIONS
If w + x = 5(y + z), which of the following is the average (arithmetic mean_ of w, x, y,... (answered by robertb)

If a+b=7(c+d), what would be the average (arithmetic mean) of a, b, c and... (answered by Fombitz)

1. What is the average (arithmetic mean) of 8, 7, 7, 5, 3, 2, and 2? A. 3 B. 4 C.... (answered by Edwin McCravy)

The average (arithmetic mean) of a and b is 10, whereas the average of b and 10 is c/2.... (answered by Theo)

The average (arithmetic mean) of a, b, c and d is n. If a + b = 150, what is c + d ?... (answered by palanisamy)

What is the value of (5^3/2) - (5^1/2) ? A) 1/5 B) 1/2 C) 1 D) sqrt (5) E) 4 sqrt... (answered by Alan3354)

If a + b = 7(c + d), which of the following is the average (arithmetic mean) of a, b, c,... (answered by Fombitz)

If A + B = 3( C + D),what is the average of A,B,C,and D? (answered by jim_thompson5910)

The average (arithmetic mean) of a , a+1 , and a+2 is c , and the average of b , b+1 ,... (answered by tommyt3rd)