Grade 6 | Unit 4 | Lesson 16: Solving Problems Involving Fractions | Practice Problems

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Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Mai says: “We are one third of the way there.” Clare says: “We have to go twice as far as we have already gone.” Tyler says: “The total hike is three times as long as what we have already gone.” Do you agree with any of them? Explain your reasoning.

A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teachers. How many shirts were sold to each group—fifth graders, sixth graders, and teachers? Explain or show your reasoning.

Jada has some pennies and dimes. The ratio of Jada’s pennies to dimes is 2 to 3. From the information given, can you determine how many coins Jada has? If Jada has 55 coins, how many of each kind of coin does she have? How much are her coins worth?