Three numbers, x, y and z are connected by the relationships y = \(\frac{4x}{9}\) + 1. If x = 99, Find z = \(\frac{4y}{9}\) + 1

A.

6\(\frac{1}{3}\)

B.

20

C.

21

D.

176\(\frac{4}{9}\)

E.

None of the above

Correct answer is C

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