Dezeree has a gift card that has $100 on it! She wants to buy some really cool sweaters that cost $27.50 each. To figure out how many sweaters she can buy, we can do some simple math.

Question

Let's call the number of sweaters \( x \). The total amount of money she would spend to buy \( x \) sweaters is:

\[
27.50 \times x = 100
\]

Now, we want to find out how many sweaters \( x \) represents, so we can divide both sides of the equation by 27.50:

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

When we do that division:

\[
x = 3.63636363636
\]

But wait! Dezeree can’t buy part of a sweater, right? That’d be weird! So, we round down to the closest whole number. That means Dezeree can buy **3 sweaters**.

Now, let’s see how much money she will spend on those 3 sweaters:

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

So she spends $82.50 for 3 sweaters. Now we need to find out how much money she has left on her gift card. To do this, we subtract the money she spent from the amount on her gift card:

\[
100 - 82.50 = 17.50
\]

That means Dezeree still has **$17.50** left on her gift card!

Just to check if she could get one more sweater (which would make it 4 sweaters):

\[
\text{Cost for 4 sweaters} = 27.50 \times 4 = 110
\]

Uh-oh! $110 is more than her $100 gift card, so she definitely can't buy 4 sweaters.

### Conclusion

So, in the end, Dezeree can buy **3 sweaters** for a total of **$82.50**, and she still has **$17.50** left on her gift card!
compact this

Answer 1

Dezeree has a $100 gift card and wants to buy sweaters that cost $27.50 each. To find out how many sweaters she can buy, we calculate:

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

Since she can't buy a fraction of a sweater, she can purchase 3 sweaters.

Calculating the total cost for 3 sweaters:

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

After her purchase, the remaining balance on her gift card is:

\[ 100 - 82.50 = 17.50 \]

To check if she could buy 4 sweaters:

\[ \text{Cost for 4 sweaters} = 27.50 \times 4 = 110 \]

Since $110 exceeds her $100 gift card, Dezeree cannot buy 4 sweaters.

Summary

Dezeree can buy 3 sweaters for $82.50 and has $17.50 left on her gift card.