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.