Question 598194: 1. Joan has $3.50 in nickels, dimes and quarters. SHe has the same number of nickels as quarters. She has twice as many nickels and dime.
Part A. Write an equation that relates the number of each kind of coin to teh amount of money tat Joan has.
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2. Cooper has some nickels, twice as many dimes as nickels and half as many quarters as nickels. He has less than $1.00. How much money does Cooper have?
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Answer by solver91311(24713)   (Show Source):
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If he had 4 quarters, that would be $1 already without consideration of the nickels and dimes.
If he had 3 quarters (75 cents) then he would have 6 nickels (30 cents) and again, we are over a buck.
If he had 2 quarters (50 cents then he would have 4 nickels (20 cents). Still less than a buck, but then he would have 8 dimes -- too much again.
If he had 0 quarters, then he would have zero nickels and zero dimes. But the probem states that he has "some" nickels, that is more than zero nickels.
The only possibility left is 1 quarter, 2 nickels, and 4 dimes for a total of 75 cents.
John
My calculator said it, I believe it, that settles it
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