Cam went to the beach and collected seashells. when he put them into 2 piles, 3 piles, and then 5 equal piles. he didn't have any extra. when he put them into 4 piles, he had exactly 2 extra. how many seashells could cam have collected?

Respuesta :

Hey there! I'm happy to help!

We see that the number of seashells is divisible by 5, 3, and 2, but not 4. One thing I like to do to find this number is to multiply together all of the numbers it is divisible by. This product will be divisible by all of the numbers because you multiplied them all together! Let's do this below.

2×3×5=30

We see that our answer is 30, and it is divisible by 2, 3, and 5. 30 also isn't divisible by four. If you tried to do so, you would get 28 (4×7) with a remainder of two.

Therefore, Cam could have collected 30 shells.

Have a wonderful day! :D