Dezeree received a $100 gift card and needs new sweaters for school. The sweaters cost $27.50 each. Write an equation to determine how many sweaters she can buy, solve it, and determine if the value is a viable solution.(4 points)

1 answer

Let "x" represent the number of sweaters Dezeree can buy.

The total cost of the sweaters is given by the equation:
$27.50 * x = $100

To solve for "x", we divide both sides of the equation by $27.50:
x = $100 / $27.50
x = 3.64

Since the number of sweaters cannot be fractional, we round down to the nearest whole number:
x = 3

Therefore, Dezeree can buy 3 sweaters with the gift card.

To check if 3 sweaters is a viable solution:
3 sweaters * $27.50/sweater = $82.50

Since $82.50 is less than the total amount of the gift card ($100), the solution is viable. So, Dezeree can buy 3 sweaters.