At her ranch, Georgia starts an animal shelter to save cats. After the first three days, she has 34 male cats and 13 female cats. She decides to only accept cats in male-female pairs from then on. In this problem, we find the largest number of pairs of cats she can accept to her shelter and still have at least 60% of her dogs be male.

(a) Let d be the number of pairs of cats she accepts. How many male cats will she have total? Female cats? Total cats?

(b) Write an inequality that means that the percentage of cats at her shelter that are male is at least 60%.

(c)Solve the inequality and determine the largest number of pairs of animal she can accept to her shelter and still have at least 60% of her dogs be male.