Anthony has a cup full of nickels and dimes that he would like to put in his savings account. When he takes the cup to the bank, the banker tells him that the 566 coins in the cup are worth $43.80.
Which of the following systems of equations models the coins in Anthony’s cup? Let n represent nickels, and d represent dimes.

Question

Anthony has a cup full of nickels and dimes that he would like to put in his savings account. When he takes the cup to the bank, the banker tells him that the 566 coins in the cup are worth $43.80.  
Which of the following systems of equations models the coins in Anthony’s cup? Let n represent nickels, and d represent dimes.

plainntall · Answer

You will want to find an equation that adds the value of the nickels as determined by the number of nickels times their individual value added to the number of times the individual value of dimes and have it equal $43.80.  The second equation will be the number of dimes added to the number of nickels equaling the number of coins at 566.  What would that look like as equations?