To find out how many sweaters Dezeree can buy with her $100 gift card, we use the equation:

To find out how many sweaters Dezeree can buy with her $100 gift card, we can use an equation. Let’s say each sweater costs $27.50, and we want to know how many she can get.

1. First, we need to solve for how many sweaters, or \( x \):

\[
27.50x = 100
\]

So we divide 100 by 27.50:

\[
x = \frac{100}{27.50} \approx 3.64
\]

Since Dezeree can only buy whole sweaters (you can't buy part of a sweater!), she can buy **3 sweaters**.

2. Now let’s check how much money that costs:

\[
\text{Total cost} = 27.50 \times 3 = 82.50
\]

That’s less than her $100 gift card, so she will have some money left.

Here’s what she has left:

\[
100 - 82.50 = 17.50
\]

So Dezeree has **$17.50** left on her gift card.

3. Now let’s see if she can buy 4 sweaters:

\[
\text{Total cost for 4 sweaters} = 27.50 \times 4 = 110.00
\]

Oops! That’s more than her $100 gift card. She can't do that.

In conclusion, Dezeree can buy **3 sweaters** for **$82.50**, and she will have **$17.50** left on her gift card.