Larry, May and Nora shared the cost of a meal. The ratio of the amount paid by Larry to the total amount paid by May and Nora is 2 : 3 while May’s share was 20% of the total amount paid by Larry and Nora. Given that Nora paid $84 more than May, how much did the meal cost?
L : M + N = 2 : 3 = 12 : 18 [x 6 to get total of same total of 30]
M : L + N = 20 : 100 = 1 : 5 = 5 : 25 [x 5 to get same total of 30]
Ali, Bill and Cindy had a total of 450 apples. The ratio of the number of apples Bill had to the number of apples that Cindy had was 2 : 5. After Ali and Bill had given away ½ of their apples, the children had 300 apples left. How many apples did Bill have at first?