SOLUTION: A girl has a collection of dimes and quarters. She has 4 times as many quarters as dimes. If the total value of her collection is $2.20, how many dimes and how many quarters does s

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A girl has a collection of dimes and quarters. She has 4 times as many quarters as dimes. If the total value of her collection is $2.20, how many dimes and how many quarters does s      Log On

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Question 1109937: A girl has a collection of dimes and quarters. She has 4 times as many quarters as dimes. If the total value of her collection is $2.20, how many dimes and how many quarters does she have
Found 2 solutions by jorel1380, ikleyn:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let d be dimes. Then quarters are 4d. So:
10d+25(4d)=220
110d=220
d=2
4d=8
☺☺☺☺

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
HINT.  If she put her coins in two sets,  4 quarters and 1 dime in each set,  then each set is worth  $1.10.


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On coin problems,  see the lessons
    - 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
    - Three methods for solving standard (typical) coin word problems
    - 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".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.