Final answer:
Sanjay can form 18 groups of 4 marbles each with his collection of 72 marbles.
Step-by-step explanation:
Sanjay had some marbles which he arranged in groups of 12, finding that he had 6 groups without any marbles left over. To find out how many groups of 4 marbles each he can form, we need to figure out the total number of marbles he has and then divide by 4.
First, find the total number of marbles by multiplying the number of groups by the number of marbles per group: 6 groups × 12 marbles per group = 72 marbles.
Next, divide the total number of marbles by the number of marbles you want in each new group: 72 marbles ÷ 4 marbles per group = 18 groups.
So, Sanjay can form 18 groups of 4 marbles each from his total collection of marbles.