SOLUTION: i'm stuck on a few problems where i have tied many different equations and end up with a decimal. i'm having trouble finding the equation that hasn't been directly said. for exampl

Question 1065300: i'm stuck on a few problems where i have tied many different equations and end up with a decimal. i'm having trouble finding the equation that hasn't been directly said. for example- A library contains 2,000 books, nonfiction and fiction. one of the equations would be n+f=2,000. i was able to solve that problem with ease. i'm stuck on this question.-"Veronica has been saving dimes and quarters. she has 94 coins in all, and the total value is $19.30. how many dimes and how many quarters does she have?" please help.
Answer by ikleyn(52863) (Show Source): You can put this solution on YOUR website!
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i'm stuck on a few problems where i have tied many different equations and end up with a decimal.
i'm having trouble finding the equation that hasn't been directly said. for example-
A library contains 2,000 books, nonfiction and fiction. one of the equations would be n+f=2,000.
i was able to solve that problem with ease. i'm stuck on this question.-
"Veronica has been saving dimes and quarters. she has 94 coins in all, and the total value is $19.30.
how many dimes and how many quarters does she have?" please help.
~~~~~~~~~~~~~~~~~~~`

Veronica.

Let Q be the number of quarters.
Then the number of dimes is (94-Q).

Quarters contribute 25Q cents to the total.

Dimes contribute 10*(94-Q).

The "value" equation is

25Q + 10*(94-Q) = 1930 cents.

Simplify and solve for Q:

25Q + 940 - 10Q = 1930.

15Q = 1930-940  --->  15Q = 990  --->  Q =  = 66.

Answer. 66 quarters and 94-66 = 28 dimes.

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".

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