4. Cookie Decorations
Nicole is baking 100 cookies for the school bake sale. While decorating, she gets bored and decides to vary the decorations. She places a cherry on every third cookie, the icing on every fourth cookie, and puts a nut on every fifth cookie. How many of the 100 cookies will have all three toppings on them? Guess and check here will take some time, but would certainly be effective–after a while. A simpler strategy would be to apply an algorithm. 1 in 3 cookies would be 33/100; 1 in 4 cookies would be 25. 1 in 5 cookies would be 20. Finding the greatest common factor of 3, 4 and 5 will yield the students’ result (60).