Question

pizza is served in the school cafeteria every fourth school day . Tacos are served every third school day . Both pizza and tacos were served today . in how many school days will pizza and tacos be served on the same day again ? show your work if the pattern continues, will pizza and tacos be served on the same day in 21 school days ? explain your answer

Answer 1

EXPLANATION

Let's see the facts:

Pizza is served -------> 4th day

Pizza: 4,8,12,16,20,24,28,32,36...

Tacos are served ---> 3rd day

Tacos: 3,6,9,12,15,18,21,24,27,30,...

Today---> Taco and pizza-----> Least Common Multiple

Every 12 school days pizza and tacos will be served on the same day because it's a least common multiple.