Maria orders T-shirts for her volleyball camp. Adult-sized T-shirts cost $6.25 each and youth-sized T-shirts cost $4.50 each. Maria has $550 to purchase both adult-sized and youth-sized T-shirts. If she purchases 45 youth-sized T-shirts, determine algebraically the maximum number of adult-sized T-shirts she can purchase.

The maximum number of adult-sized T-shirts she can purchase is 55 T-shirts.

Inequality shows the non equal comparison of variables or numbers.

Let x represent the number of adult-sized T-shirts.

Adult-sized T-shirts cost $6.25 each and youth-sized T-shirts cost $4.50 each. Maria has $550 and she purchases 45 youth-sized T-shirts. Hence:

6.25x + 4.5(45) ≤ 550

6.25x + 202.5 ≤ 550

6.25x ≤ 347.5

x ≤ 55.6

The maximum number of adult-sized T-shirts she can purchase is 55 T-shirts.

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55

Step-by-step explanation:

The cost of the youth-sized T-shirts plus the cost of the adult-sized T-shirts is less than or equal to Maria's budget.

45 ($4.50) + x ($6.25) ≤ $550

$202.50 + x ($6.25) ≤ $550

x ($6.25) ≤ $347.50

x ≤ 55.6

The most adult-sized T-shirts she can buy is 55.

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step-by-step explanation: