SOLUTION: David opened his piggy bank and found 3 pennies, 5 nickels, and $2.95 in dimes and quarters. Find the greatest number of quarters he could have if he had an odd number of dimes.

Question 80696: David opened his piggy bank and found 3 pennies, 5 nickels, and $2.95 in dimes and quarters. Find the greatest number of quarters he could have if he had an odd number of dimes.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
David opened his piggy bank and found 3 pennies, 5 nickels, and $2.95 in dimes and quarters. Find the greatest number of quarters he could have if he had an odd number of dimes.
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Let number of dimes be "x"; Value of these is 10x cents
Let number of quarters be "y"; Value of these is 25y
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EQUATION:
value + value = 295 cents
10x+25y=295
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Make a list of odd multiples of 10: 10,30,50,70...etc
Make a list of multiples of 25: 25,50,75,100...etc
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Find the largest quarter multiple that when added to an odd multiple of 10
gives you 295: 295-10=285 no good
295-30=265 no good
295-50=245 no good
295-70=225 Ah, good because 9*25=295
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so, largest number of quarters would be 9
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Cheers,
Stan H.
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