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)
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.
To determine how many sweaters Dezeree can buy, we can set up an equation.
Let's denote the number of sweaters Dezeree can buy as 'x'.
Each sweater costs $27.50.
So, the equation is: 27.50x = 100
To solve for x, we divide both sides of the equation by 27.50:
x = 100 / 27.50
Evaluating the right side of the equation gives us:
x ≈ 3.64
Since Dezeree cannot buy a fraction of a sweater, we need to round down to the nearest whole number. Therefore, she can buy a maximum of 3 sweaters using the $100 gift card.
To check if this is a viable solution, we can multiply the price of each sweater ($27.50) by the number of sweaters (3):
27.50 * 3 ≈ $82.50
Since $82.50 is less than the value of the gift card ($100), Dezeree can indeed buy 3 sweaters with the $100 gift card.
To determine how many sweaters Dezeree can buy with a $100 gift card, we need to divide the total value of the gift card by the cost of each sweater.
Let's assign variables to the given values:
- Let "x" be the number of sweaters Dezeree can buy.
- The total value of the gift card is $100.
- The cost of each sweater is $27.50.
Now, we can set up the equation:
x * ($27.50) = $100
To solve this equation, we will divide both sides of the equation by $27.50 to isolate the variable "x":
x = $100 / $27.50
Using a calculator, we find that x ≈ 3.64 (rounded to two decimal places).
Since Dezeree cannot buy a fraction of a sweater, she can only buy a whole number of sweaters. Therefore, the solution x = 3 is viable since it represents the maximum number of sweaters Dezeree can buy while staying within the $100 gift card budget.
Answer: Dezeree can buy 3 sweaters for school.