SOLUTION: If a + 2b = 3c and 2a + 4b + c = 56 what is the value of c?
(A) -12
(B) -4
(C) 8
(D) 12
(E) 24
Algebra.Com
Question 1202588: If a + 2b = 3c and 2a + 4b + c = 56 what is the value of c?
(A) -12
(B) -4
(C) 8
(D) 12
(E) 24
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
(1) a+2b = 3c
(2) 2a+4b+c = 56
In the second equation, "2a+4b" is "a+2b" times 2; and the first equation gives us the value of "a+2b" in terms of c:
2a+4b+c = 56
2(a+2b)+c = 56
2(3c)+c = 56
6c+c = 56
7c = 56
c = 8
ANSWER: (C) 8
RELATED QUESTIONS
if a=23, b=x², c=x, d=14, and 2b-3c+d=a, what is the value of... (answered by KnightOwlTutor)
If a and b are positive and 16a^3 * b^-4 = 2a what is a^-2 in terms of b?
(A) -8b... (answered by greenestamps)
If a < 0 < b, then which of the following expressions is equal to
|a - b| + |a + b| ?
(answered by stanbon)
If a, b, and c are positive numbers such that 3a = 4b = 5c, and if a + b = kc, what is... (answered by JimboP1977)
If the area of a parallelogram is 4b^2 where b is the base of the parallelogram, what is... (answered by greenestamps)
2a + 3b + c + 2d = 20
4a + b + 2c + 5d = 50
a + 2b + 3c + d = 10
2a + 4b + 2c + 3d =... (answered by Fombitz,richwmiller,sonic1)
If {{{ a^2b^3c^4=648000 }}}, where a, b and c are distinct positive integers greater than (answered by greenestamps,math_tutor2020)
Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations... (answered by math_tutor2020)
simplify the expression 2ab^4-3a^2b^2-ab^4+a^2b^2
a. ab^4-2a^2b^2
b. 0
c.... (answered by ewatrrr)