Get Ready for State


This month the 2018 MATHCOUNTS State Competitions will take place, so let’s look back at some of the 2017 State Sprint round problems and solve them in preparation.

Andre can complete 5/6 of a job in 3/4 of the time that it takes Michael to do the whole job. What is the ratio of the rate at which Andre works to the rate at which Michael works? Express your answer as a common fraction.

Baking Fruit Cake

Allie plans to make a fruit cake for her family plus four more to give away to friends. Shown here is a list of the ingredients required to make a fruit cake according to Allie’s recipe. How many ounces of mixed fruit are needed for Allie to make five fruit cakes, according to her recipe?

fruit cake ingredients.eps