A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 30% of the original number. What percent of the red candies remain? Select the correct option: A) 22.5% B) 31.5% C) 37.5% D) 42.5% E) 46.5%
Let x be the original number of each color so there are a total of 5x candies.   Kaz eats all of the green candies and half of the orange ones.   There are 0 green candies and 0.5x orange candies remaining.   He eats half of the remaining pieces of each color.   There are 0.25x orange candies, and 0.5x each of red, yellow, and blue candies.   He eats red and yellow candies in equal proportions.   orange+blue+red+yellow = 0.75x + red + yellow = 1.5x   red + yellow = 0.75x   red = 0.375x, since red = yellow.   The answer is 37.5%.
<result>C</result>
A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 30% of the original number. What percent of the red candies remain?