How many coins are worth 1.45 if the coins are only in dimes and nickels?

To find out how many coins are worth $1.45 using only dimes and nickels, we can set up a system of equations. Let x be the number of dimes and y be the number of nickels. The value of x dimes is 10x cents, and the value of y nickels is 5y cents. We can write the equation 10x + 5y = 145 (since $1.45 is equivalent to 145 cents). To solve for the number of coins, we need to find a combination of x and y that satisfies this equation.