Nadia has a handful of coins, all of which are either dimes or quarters. She has a total of 23 coins in her hand and a total of $3.65 worth of coins. Let d equal the number of dimes Nadia
has and let q represent the number of quarters she has.
(a) Could Nadia have 18 dimes and 5 (b) Write a system of equations (again in
quarters? Justify your answer. To make terms of cents) that models this situation.
the problem easier, deal with all money
in terms of pennies (or cents).
I
(c) Solve the system you wrote in (b). State a final conclusion that gives how many dimes
and how many quarters Nadia has in her hand.