Mrs. Sanchez is making cupcakes, and each batch makes 3 ½ dozen cupcakes. If she triples the recipe and then splits the total number of cupcakes equally with 7 classes, how many dozen cupcakes does each class get?
First, we need to find out how many cupcakes Mrs. Sanchez will have after tripling the recipe.
3 ½ dozen cupcakes is equivalent to 3.5 x 12 = 42 cupcakes.
Tripling this amount gives 42 x 3 = 126 cupcakes.
Now, we need to split the 126 cupcakes equally among 7 classes.
126 cupcakes / 7 classes = 18 cupcakes per class.
Since there are 12 cupcakes in a dozen, each class will receive 18 / 12 = 1.5 dozen cupcakes.
Therefore, each class will receive 1.5 dozen cupcakes.