Ratio P6

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]

30 - 12 - 5 = 13

L : M : N = 12  :  5  :  13

13 - 5 = 8

8 u  -->  $84

30 u  -->  30/8  x  84  =  $315

It was $315.