To determine how many sweaters Dezeree can buy with her $100 gift card, we can write the equation:
\[ 27.50x = 100 \]
where \( x \) is the number of sweaters she can buy.
Now, we will solve for \( x \):
- Divide both sides of the equation by $27.50:
\[ x = \frac{100}{27.50} \]
- Calculate the right side:
\[ x = \frac{100}{27.50} = 3.63636\ldots \]
Since she cannot buy a fraction of a sweater, we need to determine how many whole sweaters she can afford. Therefore, we take the whole number part:
\[ x = 3 \]
Now, we can verify if buying 3 sweaters is a viable solution by calculating the total cost:
\[ \text{Total cost} = 27.50 \times 3 = 82.50 \]
Since $82.50 is less than $100, she can buy 3 sweaters and still have some money left over.
Now, let's check if she can buy 4 sweaters:
\[ \text{Total cost for 4 sweaters} = 27.50 \times 4 = 110.00 \]
Since $110.00 exceeds $100, Dezeree cannot buy 4 sweaters.
In conclusion, the viable solution is:
Dezeree can buy 3 sweaters and spend $82.50, leaving her with $17.50 left on her gift card.
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