x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?
-
A.
(frac{5}{6}) -
B.
11 -
C.
3(frac{3}{5}) -
D.
2(frac{1}{2}) -
E.
1(frac{1}{5})
Correct Answer: Option D
Explanation
x (alpha) y = x (alpha) (frac{1}{z})
x (alpha) (frac{1}{z})
x = k (frac{y}{z})
k = (frac{xz}{y}) = (frac{9 times 8}{24})
= 3
x = (frac{xz}{y})
= (frac{3 times 5}{6})
= (frac{15}{6})
= (frac{5}{2})
= 2(frac{1}{2})