This solution is from Allison Fox, Sam McGrath, Reagan Teed and Kimmy
Schmidt from Mr. Welch's sixth grade math class at Williams Middle
School in Longmeadow Massachusetts.
We think we have the solution to the problem, Found Their Marbles.
Calvin has 16,384 marbles.
Xavier has 3,000 marbles.
Alice has 4,650 marbles.
We got Calvin's by using a chart:
Days Marbles
2 1
4 2
6 4
8 8
10 16
12 32
14 64
16 128
18 256
20 512
22 1,024
24 2,048
26 4,096
28 8,192
30 16,384
We got Alice's by also using a chart:
Days Marbles
1 10
2 20
3 30
4 40
5 50
6 60
7 70
8 80
9 90
10 100
11 110
12 120
13 130
14 140
15 150
16 160
17 170
18 180
19 190
20 200
21 210
22 220
23 230
24 240
25 250
26 260
27 270
28 280
29 290
30 300
Then, we added all of the totals up and got 4,650.
We got Xavier's total by multiplying 30 times 10 and got 3,000. So
Xavier had 3,000 marbles.
