SOLUTION: Find the number of possible ways using only quarters and/or nickels to make $20.

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Question 550541: Find the number of possible ways using only quarters and/or nickels to make $20.
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Here are all the possible ways to make $20 using only quarters and/or nickels



# of Quarters    |  # of Nickels
   0                     400
   1                     395
   2                     390
   3                     385
   4                     380
   5                     375
   6                     370
   7                     365
   8                     360
   9                     355
   10                    350
   11                    345
   12                    340
   13                    335
   14                    330
   15                    325
   16                    320
   17                    315
   18                    310
   19                    305
   20                    300
   21                    295
   22                    290
   23                    285
   24                    280
   25                    275
   26                    270
   27                    265
   28                    260
   29                    255
   30                    250
   31                    245
   32                    240
   33                    235
   34                    230
   35                    225
   36                    220
   37                    215
   38                    210
   39                    205
   40                    200
   41                    195
   42                    190
   43                    185
   44                    180
   45                    175
   46                    170
   47                    165
   48                    160
   49                    155
   50                    150
   51                    145
   52                    140
   53                    135
   54                    130
   55                    125
   56                    120
   57                    115
   58                    110
   59                    105
   60                    100
   61                    95
   62                    90
   63                    85
   64                    80
   65                    75
   66                    70
   67                    65
   68                    60
   69                    55
   70                    50
   71                    45
   72                    40
   73                    35
   74                    30
   75                    25
   76                    20
   77                    15
   78                    10
   79                    5
   80                    0



There are 81 ways to make $20 using only quarters and/or nickels