SOLUTION: Tanner has $4.35 in nickels and quarters. If he has 15 more nickels than quarters how many of each coin does he have? Would it be 2x + 15= 4.35? Is that how I write the equation

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tanner has $4.35 in nickels and quarters. If he has 15 more nickels than quarters how many of each coin does he have? Would it be 2x + 15= 4.35? Is that how I write the equation      Log On


   

Question 212084: Tanner has $4.35 in nickels and quarters. If he has 15 more nickels than quarters how many of each coin does he have?
Would it be 2x + 15= 4.35? Is that how I write the equation? Then how do I find both the amount of nickels and quarters?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N be the number of nickels and Q the number of quarters.
You will have two equations.
The first relates the number of coins.
"he has 15 more nickels than quarters"
1. N=15+Q
The second is the total value of the coins.
Each nickel is worth 5 cents.
Each quarter is worh 25 cents.
The total is $4.35 or 435 cents.
2. 5*N+25*Q=435.
Now substitute the expression for N into eq. 2 and solve for Q.
Then go back to eq. 1 and solve for N.
Re-post or email if you get stuck or need more help.
Good luck!