SOLUTION: Please help me solve this: Zack has $20.25 in nickles and quaters. The number of nickels is 33 less than the number of quaters. How many of each does he have?

Question 400018: Please help me solve this: Zack has $20.25 in nickles and quaters. The number of nickels is 33 less than the number of quaters. How many of each does he have?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the number of quarters. Then

is the value of those quarters in cents. Since there are 33 less nickels than quarters,

must represent the number of nickels.

then represents the value of the nickels in cents. The value of the quarters plus the value of the nickels is $20.25, but that is the same as 2025 cents. Therefore:

Solve for

to get the number of quarters. Subtract 33 to find the number of nickels.

Oh, by the way:

would work just as well. It is just that I would rather work with integer coefficients given the choice.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

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