SOLUTION: 12 dimes and quarters have a value of $1.65 how many dimes are there

Question 1065928: 12 dimes and quarters have a value of $1.65 how many dimes are there
Answer by ikleyn(53763) (Show Source): You can put this solution on YOUR website!
.
12 dimes and quarters have a value of $1.65 how many dimes are there
~~~~~~~~~~~~~~~~~~~~~~

25Q + 10*(12-Q) = 165,   where Q is the number of quarters.


15Q = 165 - 120  --->  15Q = 45  --->  Q =  = 3.

Answer. 3 quarters and 12-3 = 9 dimes.

For coin problems and their detailed solutions see the lessons in this site:
    - 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
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem

Read them attentively and become an expert in this field.

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".

RELATED QUESTIONS
50 coins in dimes and quarters have a total value of $11.00. How many dimes and quarters... (answered by josgarithmetic,greenestamps)

There are 12 coins that consist of quarters and dimes. The value of these coins is $2.25 (answered by Alan3354,jorel1380)

Eleven dimes and quarters have a total value of $2.15. How many of each were... (answered by richwmiller)

The total value of dimes and quarters in the bank is $6.05. There are six more quarters... (answered by Alan3354)

A coin bank contains dimes and quarters. The total value of the coins is $10.40. If the... (answered by stanbon)

a purse contains $2.20 in dimes and quarters. if the number of dimes is 1/4 the number of (answered by mananth)

If you have 44 dimes and quarters with a total of $8.60, how many dimes are... (answered by Alan3354,Edwin McCravy)

Mike has 19 coins (nickels, dimes, and quarters) in his piggy bank with a total value of... (answered by nyc_function,Fombitz)

There is a collection of nickels, dimes, and quarters with total value of $47.60. There... (answered by ikleyn,ewatrrr)