Question

1. melanie went shopping with 4 of her friends, and they each bought a sweatshirt for a total cost of $132. melanie and three of her friends bought sweatshirts for the same price. the 4th friends sweatshirt costs 1.5 times the price of melanies sweatshirt. what was the price of the most expensive sweatshirt? a. $24.00 b. $29.33 c. $36.00 d. $44.00

Explanation:

Step1: Define variable for base price

Let $x$ = price of Melanie's sweatshirt (and 3 friends' sweatshirts).

Step2: Set up total cost equation

Total cost: 4 same-price sweatshirts + 1 premium sweatshirt = $132.
$4x + 1.5x = 132$

Step3: Combine like terms

$$5.5x = 132$$

Step4: Solve for $x$

$x = \frac{132}{5.5} = 24$

Step5: Find premium sweatshirt price

Premium price = $1.5x = 1.5 \times 24$

Answer:

C. $36.00