Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Edwin often orders party trays from his favorite Mexican food restaurant for company events. For a recent company party, he spent $146 on 2 burrito platters and 4 taco platters. For a company meeting, he spent $225 on 5 burrito platters and 3 taco platters. How much does each type of platter cost?

Each burrito platter costs $ and each taco platter costs $.