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To find the number of T-shirts the team needs to sell to make a profit, we need to set up a system of equations. Let x be the number of T-shirts sold.
Cost = $5*x + $100
Revenue = $10*x
To make a profit, revenue must be greater than the cost:
$10*x > $5*x + $100
Solving the inequality:
$5*x > $100
x > 20
Therefore, the team needs to sell at least 20 T-shirts to make a profit. The closest option is 20 T-shirts.