Question

Jessie has some marbles. The number of marbles he has is more than 50 but less than

100. When the marbles are placed in groups of 10, there is a remainder of 3 and when
they are placed in groups of 6, there is a remainder of 1.

How many marbles does Jessie have?

Answer 1

Jessie has 59 marbles

Answer 2

59 marbles.

Explanation:

Let's call the number of marbles Jessie has "x".

We know that:

x > 50

x < 100

x % 10 = 3

x % 6 = 1

We can start by finding the possible values of x that satisfy both x % 10 = 3 and x % 6 = 1.

Starting from x = 53:

x = 53 satisfies x % 10 = 3 but not x % 6 = 1

x = 59 satisfies both x % 10 = 3 and x % 6 = 1

So, Jessie has 59 marbles.