Task# Bag of Marbles

Illustrative MathematicsVaries

The purpose of this task is to help students develop fluency in their understanding of the relationship between fractions and ratios. It provides an opportunity to translate from fractions to ratios and then back again to fractions. One interesting aspect to the two solutions provided is that a variable is introduced in the second solution but not in the first. The reason for the variable is that we are given that for each group of 3 blue marbles there are 4 red marbles.