SOLUTION: Marc goes to the store with exactly $1.00 in change. He has at least one of each coin less than a half-dollar coin, but he does not have a half-dollar coin. a.) what is the least

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Question 178960: Marc goes to the store with exactly $1.00 in change. He has at least one of each coin less than a half-dollar coin, but he does not have a half-dollar coin.
a.) what is the least number of coins he could have?
b.) what is the greatest number of coins he could have?
thanks again

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
so we have pennies, nickels, dimes, and quarters
:
we know pennies are the lowest priced coin, so that should give us the maximum amount of coins used:let p be pennies
:
we know quarters are the highest priced coin so that should give us the minimum amount of coins. Let q be quarters
:
b).01p=1
:
p=100 ....so 100 pennies would be the maximum amount of coins he could have
:
a).25q=1
:
q=4.....so 4 quarters would be the minimum amount of coins he could have