5/8 of Lucy's money is equal to 2/3 of Mary's money. If the 2 girls have a total of $93, how much does Lucy have?(my grandfather made this o

Let Lucy's money = L  and Mary's money = M....and we're told that

(5/8)L = (2/3)M     multiply both sides by  (3/2)

(3/2)(5/8)L = M  =  (15/16)L

And we have

L + M = 93    and substituting for M, we have

L +(15/16)L = 93

(31/16)L  = 93     multiply both sides by   (16/31)

L  = (93)(16/31)  =  $48  = Lucy's money

And Mary's is $(93 - 48) =  $45