Maria orders t shirts for he volleyball camp. Adult size t shirts cost 6.25 each and youth size t shirts cost 4.40 each Maria has 550 to purchase both adult size and youth size t shirts. If f she purchases 45 youth sized t shirts determine algebraically the maximum number of adult sized t shirts she can purchase

Answer: the maximum number of adult sized t shirts that she can purchase is 56

Step-by-step explanation:

Let x represent the number of adult sized t shirts that she can purchase.

Adult size t shirts cost 6.25 each and youth size t shirts cost 4.40 each. If she purchases 45 youth sized t shirts, It means that the total cost of purchasing x adult sized t shirts and 45 youth sized t shirts would be expressed as

6.25x + 45 * 4.4

= 6.25x + 198

Maria has 550 to purchase both adult size and youth size t shirts. It means that

6.25x + 198 = 550

6.25x = 550 - 198

6.25x = 352

x = 352/6.25

x = 56.32

Therefore, the maximum number of adult sized t shirts that she can purchase is 56