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

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) (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
RELATED QUESTIONS
You have a total of 25 coins, all nickels ($0.05) and quarters ($0.25). The total value (answered by stanbon)

You have a total or 21 coins, all nickels and dimes. the total value is $1.70. Write and... (answered by checkley75)

you have nickels and dimes in your wallet with a total value of $1.10. You have 17 coins... (answered by josmiceli)

Your younger brother is saving up to buy an ipad. He has a total of 25 coins, all nickels (answered by Edwin McCravy)

I am trying to solve the following problem using a system of equations. 1. A... (answered by Edwin McCravy)

Polly has 20 coins in quarters and nickels. The total value is 2.20. Set up a system of... (answered by lynnlo,stanbon)

write a system of equations that could be used to solve the following problem. solve... (answered by oberobic)

A change purse contains a total of 100 nickels and dimes. The total value of the coins is (answered by ankor@dixie-net.com)

1. State the variables 2. Write a system of equations 3. Write a matrix equation 4.... (answered by richwmiller)