Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 80 coins with a value of $16.25 inside
of the bank.
If Dylan only collects dimes and quarters, write system of equations in two variables that could be used to
model this situation.
Using your system of equations, algebraically determine the number of quarters Dylan has in his bank.
Dylan's mom told him that she would replace each one of his dimes with a quarter. If he uses all of his coins,
determine if Dylan would then have enough money to buy a game priced at $20.98. Justify your answer.