Chapter 3

 Can Collectors Caryn filled 6 bags with 8 cans in each bag. She had a total of 48 cans. Dexter filled 7 bags with 6 cans in each bag. He had a total of 42 cans. Susie filled 5 bags with 9 cans in each bag. She had a total of 45 cans. Vinny filled 6 bags with 7 cans in each bag. He had a total of 42 cans. Step 1 1. Given: Total bags, 24 Dexter and Susie filled 12 bags. 24 total - 12 bags for Dexter and Susie = 12 bags left. 2. Therefore, that leaves 12 bags for Caryn and Vinny combined. 3. Given: Caryn and Vinny filled the same number of bags. 4. Since Caryn and Vinny combined filled 12 bags, they must have each filled 6. Step 2 1. Given: Dexter had 2 more bags than Susie. Guess and check to make a list of combinations of 12, such as 11+1, 10+2, and so on. 2. Look for a combination where one digit is 2 more than the other. Result: 7+ 5 = 12 Step 3 Make a chart of facts known. GUESS-AND-CHECK CHART #1 Guess the possible number of cans between 40 and 50 for the number of bags collected (a multiple of the number of bags). Then circle the final choice. Step 4 Given: Dexter and Vinny have the same number of cans, so each has 42 cans. Step 5 Add. 42 + 42 = 84 Step 6 Given: 177 cans in all. Subtract to find out how many cans Caryn and Susie have combined: 177- 84 = 93 Together, Susie and Caryn collected 93 cans. Step 6 Given: 177 cans in all. Subtract to find out how many cans Caryn and Susie have combined: 177- 84 = 93 Together, Susie and Caryn collected 93 cans. Step 7 Guess and Check: Which combinations of cans total 93? Look at Guess-and-Check Chart #1. 45 + 48 = 93 Step 8 Susie collected 45 cans. Caryn collected 48 cans. GUESS-AND-CHECK CHART #2 Use Steps 4, 7, and 8 to decide how many cans each person has.