SOLUTION: A parking meter contains quarters and dollar coins. The total amount of money in the meter is $10.00. In addition, the number of dollar coins is one more than double the amount o

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Question 1054285: A parking meter contains quarters and dollar coins. The total amount of money in the meter is $10.00. In addition, the number of dollar coins is one more than double the amount of quarters. How many dollar coins are there?
Found 3 solutions by addingup, ikleyn, MathTherapy:
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website!
dollar coins: d
quarters: q
You can replace with x and y if you need to.
:
d = 2q+1 we'll use this value for d next
1d+0.25q = 10 1d is just d, so let's simplify
d+0.25d = 10
1.25d = 10
d = 8 You have 8 dollar coins and 10-8 = 2 and 2/0.25 = 8 you have 8 quarters
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d = 8
q = 8

Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website!
.
A parking meter contains quarters and dollar coins. The total amount of money in the meter is $10.00.
In addition, the number of dollar coins is one more than double the amount of quarters. How many dollar coins are there?
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quarters: q. They contribute 25q cents to the total. dollar coins: d = 2q+1. They contribute 100(2q+1) cents to the total. The "value" equation is 25q + 100(2q+1) = 1000. Simplify and solve for q: 25q + 200q + 100 = 1000, or 225q = 900 q = = 4. You have 4 quarter coins and 2*4 + 1 = 9 1-dollar coins.

There is entire bunch of the lessons on coin problems
    - Coin problems
    - More Coin problems
    - Solving coin problems without using equations
    - Kevin and Randy Muise have a jar containing coins
    - Typical coin problems from the archive
    - More complicated coin problems
    - OVERVIEW of lessons on coin word problems
in this site.

Read them and become an expert in solution of coin problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

It contains many other solved word problems, as well as many other interesting and useful things.

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!
A parking meter contains quarters and dollar coins. The total amount of money in the meter is $10.00. In addition, the number of dollar coins is one more than double the amount of quarters. How many dollar coins are there?

Did the problem state that the number of dollar-coins were the same as the number of quarters? I CANNOT see it!