We recently signed a purchase agreement with a local Mazda dealer. We were trading in a 2005 Mazda 3 that we estimated as owing $11,500 on which the salesman wrote on the back of the agreement. The signed purchase agreement stated that we had $3500 from the trade-in that would be applied to the down payment which would put the monthly payment at $231-$241 per month (also stated on the purchase agreement). We gave them a $500 dollar deposit to seal the deal. I called the next morning with an exact payoff of $10, 947 which he also wrote on the agreement. When we went to pick up the car they refused to honor the purchase agreement because the salesman had erroneously told the finance manager that we owed only $4500 on the Mazda 3. They made no offer to right their error or offer us any alternatives. Is a signed purchase agreement with an automobile dealer a legal contract and should they have to honor this agreement?