Armando bought 45 baseball cards. of the 12 friends he invited to his cookout, half of them were able to attend. armando gave each of his friends at the cookout the same number of baseball cards and had 3 cards left for himself. how many baseball cards did each friend receive?

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.