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 and spend exactly $100, solve it, and determine if the value is a viable solution.
Let x be the number of sweaters Dezeree can buy. Since each sweater costs $27.50, the total cost of the sweaters is 27.50x dollars. Since she received a $100 gift card and wants to spend exactly $100, the equation that represents the situation is:
27.50x = 100
To solve for x, divide both sides of the equation by 27.50:
x = 100 / 27.50
x ≈ 3.63
Since the number of sweaters must be a whole number, and she cannot buy a fraction of a sweater, the value 3.63 is not a viable solution.
Therefore, Dezeree can buy 3 sweaters with her $100 gift card.