Three girls are selling cases of popcorn to earn money for a band trip. In week 1, Emily sold $2\frac{3}{4}$ cases, Brenda sold $4\frac{1}{4}$ cases, and Shannon sold $3\frac{1}{2}$ cases.

Part A

How many cases of popcorn have the girls sold in all? Explain how you found your answer.

Part B

The girls must sell a total of 35 cases in order to have enough  money for the trip. Suppose they sell the same amount in week 2 and week 3 of the sale as in week 1. Will the girls have sold enough cases of popcorn to go on the trip? Explain.

Henry ate $\frac{3}{8}$ of a sandwich. Keith ate $\frac{4}{8}$ of the same sandwich. How much more of the sandwich did Keith eat than Henry?

For numbers 20a–20d, choose True or False for each sentence.

a. $1\frac{4}{9}+2\frac{6}{9}$ is equal to $4\frac{1}{9}$

b. $3\frac{5}{6}+2\frac{3}{6}$ is equal to $5\frac{2}{6}$

c. $4\frac{5}{8}-2\frac{4}{8}$ is equal to $2\frac{3}{8}$

d. $5\frac{5}{8}-3\frac{2}{8}$ is equal to $2\frac{3}{8}$

Justin lives $4\frac{3}{5}$ miles from his grandfather’s house. Write the mixed number as a fraction greater than one.