John had some marbles. He lost \( {2 \over 7}{}{}\) of the marbles and gave 48 marbles to his
friends. He was then left with \( {1\over 3}{}{}\)of the marbles. He packed these into 10 packets.
Some of the packets contained 3 marbles while the rest contained 5 marbles.
(a) How many marbles were packed into the 10 packets?
(b) How many packets contained 3 marbles?
x = original count of marbles
losing 2/7ths means he has 5/7 ths of original left
5/7 x - 48 = 1/3 x
x = 126
at the end he has 1/3 of the original amount = 42 marbles
3 3 3 3 + 5 5 5 5 5 5