To determine how many sweaters Dezeree can buy with a $100 gift card where each sweater costs $27.50, we can set up the following equation:

Question

Let \( x \) be the number of sweaters Dezeree can buy. The total cost of the sweaters can be expressed as:

\[
27.50x = 100
\]

Now, we can solve for \( x \):

1. Divide both sides by 27.50:

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

2. Calculate the right side:

\[
x = \frac{100}{27.50} = 3.63636363636
\]

Since Dezeree cannot buy a fraction of a sweater, we round down to the nearest whole number. Thus, she can buy 3 sweaters.

To determine the total cost for 3 sweaters:

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

Since \( 82.50 \) is less than \( 100 \), Dezeree still has some money left on her gift card.

Now, if we check the number of sweaters she could buy if she rounded up to 4:

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

This exceeds her $100 budget.

### Conclusion

Dezeree can buy a maximum of **3 sweaters**, which totals **$82.50**, and she will have **$17.50** left on her gift card. Thus, the viable solution is that she can buy **3 sweaters**. make this like a 6th grader

Answer 1

Sure! Let's make it simpler for a 6th grader to understand.

Imagine Dezeree has a gift card worth $100. She wants to buy some sweaters that cost $27.50 each. To find out how many sweaters she can buy, we can set up a little math problem:

Let \( x \) be the number of sweaters. The total cost to buy \( x \) sweaters would be:

\[ 27.50 \times x = 100 \]

Now, we want to find out what \( x \) is, so we will divide both sides by 27.50 to solve for \( x \):

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

Now, let’s do that division:

\[ x = 3.63636363636 \]

Since Dezeree can't buy a part of a sweater (that would be silly!), we round down to the nearest whole number. So, she can buy 3 sweaters.

Next, let’s find out how much money she will actually spend on those 3 sweaters:

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

This means she spends $82.50 on 3 sweaters. So, how much money does she have left on her gift card?

To find that out, we can subtract the total cost from the amount on her gift card:

\[ 100 - 82.50 = 17.50 \]

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

Now, just to check if she could buy one more sweater (4 sweaters):

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

Oh no! $110 is more than her $100 gift card, so she cannot afford 4 sweaters.

Conclusion

So, Dezeree can buy a maximum of 3 sweaters for a total cost of $82.50, and she will have $17.50 left on her gift card.