SOLUTION: Tim had $5.03 in quarters, nickels, dimes, pennies, and half-dollars in a desk drawer. He has five more nickels than quarters, the number of pennies is two-thirds the number of nic

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Question 219001: Tim had $5.03 in quarters, nickels, dimes, pennies, and half-dollars in a desk drawer. He has five more nickels than quarters, the number of pennies is two-thirds the number of nickles, there are half as many dimes as nickels.How many coins of each type does he have?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of quarters he has
Let = number of dimes he has
Let = number of nickels he has
Let = number of pennies he has
Let = number of half-dollars he has
Just by looking at the amount of money Tim has,
you can tell a lot about the coins that make it up.
(1) The number of half dollars must be less than
, since that would leave no room for other coins
(2) He must have at least 3 pennies to get $5.53.
-----------------------------------------------------
given:
(1)
(2)
(3)
(4) (in pennies)
-----------------------------------------
There are unknowns and only equations, so
it will take some extra work to get the answer
From (1),
Substituting into (4),

Multiply both sides by




I need a combination of and that
will give me , and must be or less
--------------------





There can't be half-dollars,
I'll try halfs


Can't be it, increasing takes me over


Next increase in takes me over


not it


not it
BINGO
Now I know that


and



and



and


Tim has 8 pennies, 12 nickels, 6 dimes, 7 quarters, and 4 half-dollars
check answer:
(4)



OK



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