SOLUTION: What is the maximum number of coins you can have to make 5.00 if the number of dimes must be greater than the other coins?

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Question 739592: What is the maximum number of coins you can have to make 5.00 if the number of dimes must be greater than the other coins?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if you have to have dimes, and if the number of dimes must be greater
than the other coins, then the other coins could be only nickels and pennies
but, the maximum number of coins you can have to make $5.00 is if you use only dimes and pennies
since the number of dimes must be greater, convert $5.00 in dimes which is 50 dimes
the smallest number dimes and pennies you can use is d and p to have x%3Ey

d%2Bp=50=> d=50-p
d%3Ep=>50-p%3Ep =>50%3Ep%2Bp =>50%3E2p =>25%3Ep
so, you can use less than 25 pennies and first number less than 25 is 24
then d=48dimes is $4.80 and rest are p=20 pennies
so, 48 dimes and 20 pennies are the maximum number of coins you can have to make $5.00