Question

Lena sells earrings from a booth at the arts fair. She pays $200 to rent the booth.She makes $5 from each pair of earrings she sells. Her profit, P, can be foundusing the following equation, where n is the number of pairs of earrings sold.P = 5n – 200How many pairs of earrings must Lena sell to earn a profit of $450?1- 1402- 1303- 1004- 150

Answer 1

P = 5n - 200

where

P: profit

n: number of pairs of earrings sold.

To find how many pairs of earrings must Lena sell to earn a profit of $450, we have to replace P = 450 into the equation and solve for n, as follows:

450 = 5n - 200

200 is subtracting on the right, then it will add on the left

450 + 200 = 5n

650 = 5n

5 is multiplying on the right, then it will divide on the left

650/5 = n

130 = n

Lena must sell 130 pairs of earrings to earn a profit of $450.