There are between 100 and 110 marbles in a collection of cards. If they are counted out 3 at a time, there are 1 left over, but if they are counted out 4 at a time, there is 4 left over. How many marbles are in the collection? Choose the correct choice from the following choices
A) 100
B) 103
C) 106
D) 108
E) 109
Let number of cards = x   If the cards are counted 3 at a time , there are 2 left over-   x = 3p+1   x can take values 100 , 104 , 109   If the cards are counted 4 at a time , there is 1 left over   x= 4q+4   x can take values 100 , 108   Therefore , x = 100   100nswer 100
<result>A</result>
There are between 100 and 110 marbles in a collection of cards. If they are counted out 3 at a time, there are 1 left over, but if they are counted out 4 at a time, there is 4 left over. How many marbles are in the collection?