Algebra word probs

Question

Amy has 85 cents in nickels and dimes she has 2 more nickels than dimes how many of each coin does she have

Answer 1

Let x be the number of nickels.  Let y be the number of dimes.

 

Nickels are worth 5 cents, and dimes are worth 10 cents.

 

Since the total is 85 cents, you know that 5x+10y=85.

 

You also know that x is 2 more than y (she has 2 more nickels than dimes) - Therefore, x=y+2.

 

Now you have a system of two equations:

 

5x+10y=85

x=y+2

 

Solve this system of equations.  The easiest methods are the substitution method and the elimination method.