SOLUTION: There are quarters and dimes in the piggy bank. The coins are worth $8.50 and there are 15 more dimes than there are quarters. How many of each coins are in the piggy bank.

Question 1109157: There are quarters and dimes in the piggy bank. The coins are worth $8.50 and there are 15 more dimes than there are quarters. How many of each coins are in the piggy bank.
Answer by ikleyn(52873) (Show Source): You can put this solution on YOUR website!
.

10d + 25q = 850   cents     (1)
  d -    q = 15             (2)


Multiply eq(2) by 10 (bpth sides).  Keep eq(1) as is:

10d + 25q = 850   cents     (1')
10d - 10q = 150             (2')
-------------------------------------Now subtract eq(2') from eq(1'). You will get

    35q = 850-150 = 700  ====>  q =  = 20.


Answer.  2o quarters and 20+15 = 35 dimes.


Check.   Check it on your own.

Solved.

---------------------
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
    - 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.

RELATED QUESTIONS
There are quarters and dimes in the piggy bank. The coins are worth $8.50 and there are... (answered by addingup)

There are quarters and dimes any piggy bank. The coins are worth $8.50 there are 15... (answered by addingup)

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels, (answered by ikleyn,richwmiller,greenestamps)

A piggy bank contains nickels, dimes and quarters. There are three times as many dimes as (answered by richwmiller)

There are 75 coins in a piggy bank. If there are twice as many quarters than dimes, how... (answered by Alan3354)

A piggy bank contains 57 coins. There are 8 more dimes than quarters, and 5 more nickels (answered by josgarithmetic)

piggy bank consists of nickels and dimes. there are 30 coins worth $1.90, how many... (answered by Edwin McCravy)

A bank has only dimes and quarters worth $15.40. There are 100 coins in the bank. How... (answered by Edwin McCravy)

a piggy bank has $4.40 in nickels, dimes and quarters. there are twice as many quarters... (answered by Fombitz)