SOLUTION: Eva has $6.45 in quarters and dimes. If she has 26 more dimes than she has quarters , how many of each coin does she have?

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Question 1067484: Eva has $6.45 in quarters and dimes. If she has 26 more dimes than she has quarters , how many of each coin does she have?
Found 3 solutions by ikleyn, MathTherapy, josgarithmetic:
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Let us solve it mentally, without using equations. 

Take 26 from the collection, for a moment (mentally, of course).

The updated collection will contain 645 - 260 = 385 cents and equal number of quarters and dimes.


Regroup coins in pairs, 1 quarter and 1 dime in each pair.

Each pair is worth 25 + 10 = 35 cents.

The number of pairs in the updated collection is  = 11.


Answer. There are 11 quarters ans 11+26 = 37 dimes in the original collection.

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.

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".


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Eva has $6.45 in quarters and dimes. If she has 26 more dimes than she has quarters , how many of each coin does she have? 
 

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
 d dimes

q quarters





Coins description, and money in cents:















ELIMINATION METHOD-FINDING q









, quarters





SUBSTITUTION - FINDING d





, dimes 

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