word problem of equations and inequalities

Question

It costs a manufacturer $8.95 to produce sunglasses that sell for $29.99. How many pairs of sunglasses must the manufacturer sell to make a profit of $17,884?

Answer 1

Let x = the number of sunglasses sold.

Revenue = $29.99x

Cost = $8.95x

Profit = Revenue - Cost

Profit = $29.99x - $8.95x

Profit = $21.04x

$17,884 = $21.04x

Solve for x.