Question 1144995
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(1) The number of quarters is at most 1 -- i.e., either 0 or 1.<br>
(2) The number of pennies has to be a multiple of 5, and less than or equal to 45 -- so 0, 5, 10, 15, 20, 25, 30, 35, 40, or 45.<br>
(3) For each combination of quarters and pennies, there will be either 0 or 1 way to make a total of 45 cents using dimes.  For example...<br>
(a) 1 quarter and 0 pennies, total 25 cents; 20 cents left, so a solution, using 2 dimes
(b) 1 quarter and 5 pennies, total 30 cents; 15 cents left; no solution, since you can't make 15 cents with dimes
etc., etc....<br>
Make an organized list showing all the combinations of quarters and pennies.<br>
In doing that, you might see a pattern which makes it possible to reach the final answer without completing the table.<br>