SOLUTION: A purse contains 40 nickels and dimes. If the total value is $3.25, find out how many of each coin is in the purse. Write a system of equations to model the situation, then solve

Algebra.Com
Question 1056498: A purse contains 40 nickels and dimes. If the total value is $3.25, find out how many of each coin is in the purse.
Write a system of equations to model the situation, then solve.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
A purse contains 40 nickels and dimes. If the total value is $3.25, find out how many of each coin is in the purse.
Write a system of equations to model the situation, then solve.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

 n +   d =  40,     (1)
5n + 10d = 325      (2)

It is your system.

Express n = 40 - d from (1) and substitute it into (2). You will get

5(40-d) + 10d = 325,

200 - 5d + 10d = 325,

5d = 325-200,

5d = 125,

d =  = 25.

Answer.  25 dimes and 40-25 = 15 nickels.

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
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

A coin purse contains nickels and quarters. There are 7 more nickels than quarters in the (answered by hamsanash1981@gmail.com)
A coin purse contains pennies and dimes. There 4 times as many pennies as dimes in the... (answered by checkley77)
A coin purse contains an equal number of nickels, dimes and quarters. The total amount of (answered by Alan3354)
A purse contains $3.25 in quarters, dimes, and nickels. The purse contains twice as many (answered by jorel555)
A coin purse contains an equal number of nickels, dimes and quarters. The total amount of (answered by scott8148)
A purse contains a collection of quaters, dimes, nickels,and pennies.Thwe average value... (answered by ankor@dixie-net.com)
A change purse contains a total of 100 nickels and dimes. The total value of the coins is (answered by ankor@dixie-net.com)
A Change purse contains a total of 100 nickels and dimes. The total value of the coins is (answered by josmiceli)
A purse contains twice as many nickels as dimes, and the total value of the nickels and... (answered by )