SOLUTION: You have a total of 25 coins, all nickels and quarters. The total value is $3.85. Write and solve a system of equations to find the number of nickels n and the number of quarters

Algebra ->  Expressions-with-variables -> SOLUTION: You have a total of 25 coins, all nickels and quarters. The total value is $3.85. Write and solve a system of equations to find the number of nickels n and the number of quarters      Log On


   

Question 127078This question is from textbook
: You have a total of 25 coins, all nickels and quarters. The total value is $3.85. Write and solve a system of equations to find the number of nickels n and the number of quarters q that you have. This question is from textbook

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Q+N=25 OR Q=25-N
.25Q+.05N=3.85
.25(25-N)+.05N=3.85
6.25-.25N+.05N=3.85
-.2N=3.85-6.25
-.2N=-2.4
N=-2.4/.2
N=12 THE NUMBER OF NICKELS.
25-12=13 QUARTERS.
PROOF:
.25*13+12*.05=3.85
3.25+.6=3.85
3.85=3.85