To determine how many sweaters Deserve can buy with her $100 gift card, we can set up an equation using \( x \) to represent the number of sweaters she can buy.
The cost per sweater is $27.50, so the equation that represents the total expense is:
\[ 27.50x = 100 \]
Now, we can solve for \( x \):
- Divide both sides of the equation by 27.50:
\[ x = \frac{100}{27.50} \]
- Calculate the right side:
\[ x = 3.63636... \]
Since the number of sweaters must be a whole number, we need to round down because Deserve cannot buy a fraction of a sweater. Thus, the maximum number of sweaters Deserve can buy is 3.
Next, we can check the total cost if she buys 3 sweaters:
\[ 3 \times 27.50 = 82.50 \]
This leaves her with:
\[ 100 - 82.50 = 17.50 \]
If she tries to buy 4 sweaters:
\[ 4 \times 27.50 = 110 \]
This total exceeds her gift card amount of $100, so buying 4 sweaters is not a viable solution.
Thus, the only viable solution is that Deserve can buy 3 sweaters for a total of $82.50.
1 answer