Question

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

Part A
How many cases of popcorn have the girls sold in all? (Use Associative Property) Explain how you found the 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.

Answer 1

Answer: it is 3 1/2

Step-by-step explanation: 3 1/2 hope this helps

Answer 2

Given:
Week 1:
Emily = 2 3/4 cases
Brenda = 4 1/4 cases
Shannon = 3 1/2 cases

Convert these mixed fractions into improper fractions:
2 3/4 = ((2*4)+3)/4 = 11/4
4 1/4 = ((4*4)+1)/4 = 17/4
3 1/2 = ((3*2)+1)/2 = 7/2

7/2 must be multiplied by a fraction to have a denominator of 4.
7/2 * 2/2 = 7*2 / 2*2 = 14/4

11/4 + 17/4 + 14/4 = (11+17+14)/4 = 42/4 = 10 2/4 or 10 1/2 cases

Same sales on week 2 and 3.

42/4 x 3 weeks = (42*3)/4 = 126/4 = 31 2/4 or 31 1/2 cases

The were not able to sell the 35 cases needed to go on the trip. They needed to sell 3 1/2 cases more.

35 - 31 1/2 = 3 1/2