johnycute wrote:

A housing subdivision contains only two types of homes: ranch-style homes andtownhomes. There are twice as many townhomes as ranch-style homes. There are 3 timesas many townhomes with pools than without pools. What is the probability that a homeselected at random from the subdivision will be a townhome with a pool?

(A) 1/6 (B) 1/5 (C) 1/4 (D) 1/3 (E) 1/2

I got E,

R is # of ranchhomes

T is # of townhomes

"There are twice as many townhomes as ranch-style homes." translates T=2R. Then total number of houses is 3R

"There are 3 timesas many townhomes with pools than without pools. " translates the ratio of "with pools to without pools" is 3:1. Or 75% {3/4} of T with pools and 1/4 {25%} of T without pools. Then # of houses with pools is 0,75*T or 0,75*2R.

"What is the probability that a homeselected at random from the subdivision will be a townhome with a pool?" translates

# of houses with pools/ total # of houses=?

0,75*2R/3R = 1/2

Please, let know if I missed something.