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 ->
Customizable Word Problem Solvers
-> Coins
-> 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
Log On
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.
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.
