you have $11.65 in quarters and nickels. There are 97 coins in all. How many quarters and nickels do you have?

Question

let x= number of quarters , let y= number of nickels

Answer 1

Let X = number of quarters

Let Y = number of nickels

 

The total number of coins are the number of quarters plus the number of nickels:

X + Y = 97

 

Let the value of quarters = 0.25(X)

Let the value of nickels = 0.05(Y)

 

The total value of all 97 coins:

0.25X + 0.05Y = 11.65

 

Use substitution to find X then plug in your value of X into either equation to find the value of Y.

 

Does that make sense?  I don't want to give you the answer.

 

Best regards.

 

Bob