SOLUTION: Kesha has a total of 110 coins,all of which are either dimes or quarters. The total value of the coins is $20.00. Find the number of each type of coin

Question 1060740: Kesha has a total of 110 coins,all of which are either dimes or quarters. The total value of the coins is $20.00. Find the number of each type of coin
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.
Kesha has a total of 110 coins,all of which are either dimes or quarters. The total value of the coins is $20.00.
Find the number of each type of coin.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let D be the number of dimes.

Then the number of quarters is (110-D).

The "value equation" is

10D + 25*(110-D) = 2000.

Simplify and solve for D:

10D + 2750 - 25D = 2000,

-15D = 2000 - 2750,

-15D = -750,

D =  = 50.

Answer.  There are 50 dimes and 110-50 = 60 quarters in the collection.

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
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".

RELATED QUESTIONS
aviva has a total of 56 coins, all which are either dimes or nickels . the total value of (answered by Edwin McCravy)

Raleigh has a total of 54 coins, all of which are either dimes or nickels. The total... (answered by kelli_scofield)

John has a total of 13 coins in his pocket. Of the 13 coins, they are all either quarters (answered by stanbon)

john has a total of 13 coins in his pocket. of the 13 coins they are all either quarters... (answered by Edwin McCravy)

John has a total of 13 coins in his pocket. Of the 13 coins, they are all either quarters (answered by solver91311)

Cookie has 97 coins in her collection � all either nickels, dimes or quarters. If 77 of... (answered by Edwin McCravy)

A purse contains 30 coins, all either quarters or dimes. The total value of the coins is... (answered by ptaylor)

Raleigh has a total of 66 coins, all of which are either dimes or nickles. The total... (answered by eperette)

ZACHARIAS HAS A TOTAL OF 65 COINS, ALL OF WHICH ARE EITHER DIMES OR NICKELS. THE TOTAL... (answered by stanbon,richwmiller)