SOLUTION: You have $10.50 in quarters and dimes. You have seven more quarters than dimes. How many of each must you have?

Click here to see ALL problems on Age Word Problems

Question 1090184: You have $10.50 in quarters and dimes. You have seven more quarters than dimes. How many of each must you have?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
You have $10.50 in quarters and dimes. You have seven more quarters than dimes. How many of each must you have?
------------
w/o the "7 more quarters" you have $10.50 - $1.75 = $8.75 of pairs of Qs and Ds.
875/35 = 25 pairs
============
--> 25 dimes & 32 quarters

Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website!
.
There is a special lesson in this site teaching you on how to solve such problems mentally, without using equations
    - Solving coin problems mentally by grouping without using equations

Moreover, there is entire bunch of 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
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem
    - OVERVIEW of lessons on coin word problems
in this site.

You will find there the lessons for all levels - from introductory to advanced,
and for all methods used - from one equation to two equations and even without equations.

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.

The referred lessons are the part of this online textbook under the topic "Coin problems".