To find out how many sweaters Dezeree can buy with her $100 gift card, we use the equation:
\[
27.50x = 100
\]
where \( x \) is the number of sweaters.
1. Solve for \( x \):
\[
x = \frac{100}{27.50} \approx 3.64
\]
Since she can only buy whole sweaters, \( x = 3 \).
2. Verify the total cost for 3 sweaters:
\[
\text{Total cost} = 27.50 \times 3 = 82.50
\]
This is under $100, leaving her with:
\[
100 - 82.50 = 17.50
\]
3. Check if she can buy 4 sweaters:
\[
\text{Total cost for 4 sweaters} = 27.50 \times 4 = 110.00
\]
This exceeds her budget.
In summary, Dezeree can buy **3 sweaters** for **$82.50**, leaving her with **$17.50** on her gift card.