Question

Helen puts 50 marbles into 9 jars. First, she puts in the greatest

possible number of marbles into each of the 1st 8 jars. Each of these
8 jars has an equal number of marbles. The remaining marbles are
then put into the 9th jar. How many more marbles does she need for
the 9th jar such that every jar has the same number of marbles?​

Answer 1

She needs 4 more marbles for the 9th jar.

Explanation:

Multiples of 8:

M = {0, 8, 16, 24, 32, 40, 48, 56, ...}

First, she puts in the greatest possible number of marbles into each of the 1st 8 jars.

The total is the greatest multiple of 8 below 50, which is 48.

In each jar:

48/8 = 6

The remaining marbles are then put into the 9th jar.

50 - 48 = 2 in the 9th jar.

How many more marbles does she need for the 9th jar such that every jar has the same number of marbles?​

All others have 6, the 9th has 2.

6 - 2 = 4

She needs 4 more marbles for the 9th jar.