Question

An art teacher is distributing supplies for the community center art class. Every fourth student gets a tube of paint. Every seventh student gets a pack of crayons. Which student is the first person to get both supplies? Which number of each type of supply does the student get?

Answer 1

The 28th student gets both the paint and the crayons. He gets the 7th tube of paint and the 4th pack of crayons.

Answer 2

Every fourth student gets a tube of paint. Every seventh student gets a pack of crayons.

Now to know, which student is the first person to get both supplies, we will find the least common multiple or LCM of 4 and 7.

4 = 2 x 2

7 = 1 x 7

LCM = 2 x 2 x 7 = 28

So, we get that the 28th student is the first person to get both supplies.

And he will get 28/4 = 7th tube of paint and 28/7 = 4th pack of crayons.