Three numbers, x, y and z are connected by the relationships y = (frac{4x}{9}) + 1. If x = 99, find z
-
A.
6(frac{1}{3}) -
B.
20 -
C.
21 -
D.
176(frac{4}{9}) -
E.
None of the above
Correct Answer: Option C
Explanation
y = (frac{4x}{9}) + 1, z = (frac{4y}{9}) + 1, z = (frac{4}{9})((frac{4}{9}) x + 1) + 1
= [(frac{4}{9})((frac{4}{9})(99) + 1]
= (frac{4}{9})(45) + 1
= 21