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