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?

Tgfromthe4 Sep 14, 2021

#1**+2 **

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

ElectricPavlov Sep 14, 2021