SOLUTION: in how many ways can u make 45 cent using quarter dime penny

Question 1144995: in how many ways can u make 45 cent using quarter dime penny
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

(1) The number of quarters is at most 1 -- i.e., either 0 or 1.

(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.

(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...

(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....

Make an organized list showing all the combinations of quarters and pennies.

In doing that, you might see a pattern which makes it possible to reach the final answer without completing the table.

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