SOLUTION: Emilie buys a school lunch every fourth day of school. Dora buys a school lunch every sixth day of school and Huang buys a school lunch every fifth day of school. On which day of

Algebra ->  Equations -> SOLUTION: Emilie buys a school lunch every fourth day of school. Dora buys a school lunch every sixth day of school and Huang buys a school lunch every fifth day of school. On which day of      Log On


   

Question 1059599: Emilie buys a school lunch every fourth day of school. Dora buys a school lunch every sixth day of school and Huang buys a school lunch every fifth day of school. On which day of school will each of the three students buy a school lunch? Show all math work.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
The question here is what is the least common multiple between 4,5, and 6. Factoring each we get:
4=2x2
5=5x1
6=3x2
The least common multiple is made by multiplying the prime numbers by the times they appear most in the factors. So:
2x2x3x5=60 is the least common multiple. So they all buy school lunches every 60 school days. ☺☺☺☺