SOLUTION: Claire has 250 pennies. Some pennies are in a box and some in her bank. There are more than 100 pennies in each place. How many pennies could be in each place? Explaine how you sol

There are n pennies in the box

Therefore there are 250-n in the bank

n > 100, so 100 < n

250-n > 100
   -n > -150
    n < 150
  
100 < n < 150

From 101 through 149, that 149-100 or 49 ways.

1.  101 pennies in the box and 149 in the bank.
2.  102 pennies in the box and 148 in the bank.
3.  103 pennies in the box and 147 in the bank.
4.  104 pennies in the box and 146 in the bank.
5.  105 pennies in the box and 145 in the bank.
6.  106 pennies in the box and 144 in the bank.
7.  107 pennies in the box and 143 in the bank.
8.  108 pennies in the box and 142 in the bank.
9.  109 pennies in the box and 141 in the bank.
10.  110 pennies in the box and 140 in the bank.
11.  111 pennies in the box and 139 in the bank.
12.  112 pennies in the box and 138 in the bank.
13.  113 pennies in the box and 137 in the bank.
14.  114 pennies in the box and 136 in the bank.
15.  115 pennies in the box and 135 in the bank.
16.  116 pennies in the box and 134 in the bank.
17.  117 pennies in the box and 133 in the bank.
18.  118 pennies in the box and 132 in the bank.
19.  119 pennies in the box and 131 in the bank.
20.  120 pennies in the box and 130 in the bank.
21.  121 pennies in the box and 129 in the bank.
22.  122 pennies in the box and 128 in the bank.
23.  123 pennies in the box and 127 in the bank.
24.  124 pennies in the box and 126 in the bank.
25.  125 pennies in the box and 125 in the bank.
26.  126 pennies in the box and 124 in the bank.
27.  127 pennies in the box and 123 in the bank.
28.  128 pennies in the box and 122 in the bank.
29.  129 pennies in the box and 121 in the bank.
30.  130 pennies in the box and 120 in the bank.
31.  131 pennies in the box and 119 in the bank.
32.  132 pennies in the box and 118 in the bank.
33.  133 pennies in the box and 117 in the bank.
34.  134 pennies in the box and 116 in the bank.
35.  135 pennies in the box and 115 in the bank.
36.  136 pennies in the box and 114 in the bank.
37.  137 pennies in the box and 113 in the bank.
38.  138 pennies in the box and 112 in the bank.
39.  139 pennies in the box and 111 in the bank.
40.  140 pennies in the box and 110 in the bank.
41.  141 pennies in the box and 109 in the bank.
42.  142 pennies in the box and 108 in the bank.
43.  143 pennies in the box and 107 in the bank.
44.  144 pennies in the box and 106 in the bank.
45.  145 pennies in the box and 105 in the bank.
46.  146 pennies in the box and 104 in the bank.
47.  147 pennies in the box and 103 in the bank.
48.  148 pennies in the box and 102 in the bank.
49.  149 pennies in the box and 101 in the bank.

Edwin