Question

Isabel sold t-shirts at a festival. She made $5 for each t-shirt she sold. Her expenses were $22. If she made a profit of $83, how many t-shirts did she sell?

a) 5x−22=83; x=21
b) 5x+22=83; x=12
c) 5x+22=83; x=21
d) 5x−22=83; x=12

Answer 1

The correct equation for Isabel's t-shirt sales is 5x - 22 = 83, and after solving the equation, it's found that Isabel sold 21 t-shirts to make a profit of $83.

Step-by-step explanation:

The subject of this question is Mathematics, specifically solving a linear equation related to profit from sales. Isabel's profit $P$ is calculated by subtracting her expenses $E$ from the total revenue $R$. For each t-shirt she sells, she earns $5, so if she sells $x$ t-shirts, her total revenue $R$ is $5x$. Her expenses amount to $22. The profit she made, which we know is $83, can be found by the equation $P = R - E$, or $83 = 5x - 22$. Therefore, the correct equation to determine the number of t-shirts sold is:

a) 5x - 22 = 83

Solving for $x$, we add $22$ to both sides of the equation:

5x - 22 + 22 = 83 + 22

5x = 105

Dividing both sides by $5$:

x = 105 / 5

x = 21

Hence, Isabel sold 21 t-shirts.