Let "x" represent the number of sweaters Dezeree can buy.
The total cost of the sweaters is given by the equation:
$27.50 * x = $100
To solve for "x", we divide both sides of the equation by $27.50:
x = $100 / $27.50
x = 3.64
Since the number of sweaters cannot be fractional, we round down to the nearest whole number:
x = 3
Therefore, Dezeree can buy 3 sweaters with the gift card.
To check if 3 sweaters is a viable solution:
3 sweaters * $27.50/sweater = $82.50
Since $82.50 is less than the total amount of the gift card ($100), the solution is viable. So, Dezeree can buy 3 sweaters.