Jerry, Kumar and Lucas shared a bag of marbles. The number of
marbles Kumar had was 1/2 of the number of marbles Lucas had.
Jerry had 1/4 of the total number of marbles. Lucas had 36 more
marbles than Jerry.
(a) What fraction of the marbles did Lucas have?
(b) How many marbles were there altogether?
+129 Let total number of marbles in the bag were = x
Given, then jerry has marbles = 1/4 of the total number of marbles
= 1/4x = x/4
Lucas had marbles = x/4 + 36 = (36 more than Jerry)
Kumar had marbles = 1/2 of the number of marbles
was had
= 1/2 (x/4 + 36)
As, there were total x marbles in the bag
So;
x = x/4 + (x/4 + 36) + 1/2(x/4 + 36)
= 2x/4 + x/8 + 36 + 18
x = \( {4x+x \over 8}\) + 36 + 18
x- 5x/8 + 54
3x/8 = 54
x = \( {54 * 8 \over 3} = {432 \over 3} = 144\)
x = 144
a)
Lucas had marbles = (x/4 + 36)
= 144/4 + 36
= 36 + 36
= 72
So; Lucas had 1/2 of the total marbles.
b) Total marbles were x = 144.
