SOLUTION: sixty quarters and dimes were emptied from a candy machine. their total value was $9.75. how many of each type were there?

Algebra.Com
Question 1108406: sixty quarters and dimes were emptied from a candy machine. their total value was $9.75. how many of each type were there?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!



.
.

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
25*Q + 10*(60-Q) = 975   cents.


25Q + 600 - 10Q = 975

15Q = 975 - 600  = 375  ====>  Q =  = 25 quarters.


Answer.  25 quarters and 60-25 = 35 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
    - 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

Sixty coins were emptied from a candy machine. There were only quarters and dimes. The... (answered by TimothyLamb)
From the coffee machine, Giorgio collected a total of 76 dimes and quarters. Their total... (answered by macston)
There were 40 dimes and quarters in the drawer. Peggy counted them and found that their... (answered by josgarithmetic,stanbon)
The value of the dimes and quarters was $5.75 and there were 5 more dimes than quarters.... (answered by Alan3354,greenestamps,ikleyn)
There were 26 nickels, dimes and quarters in all, and their value was $2.25. How many... (answered by ankor@dixie-net.com)
A lady's purse contained 12 coins consisting of quarters and dimes only. Their total... (answered by mananth)
Eleven dimes and quarters have a total value of $2.15. How many of each were... (answered by richwmiller)
Please help to solve... There are 26 nickels, dimes and quarters in all, and their... (answered by ptaylor)
1. There are 40 dimes and quarters in the drawer. Peggy counted them and found that their (answered by jim_thompson5910)