Arianna has a large piece of fabric that she wants to use to make some scarves. The number N of scarves she can make is inversely proportional to the area A of each scarf. If the area of each scarf is 4 square feet, then she can make 15 scarves. If the area of each scarf is 5 square feet, how many scarves can she make?
Let N be the number of scarves she can make
Let k be the proportionality constant
Let A be the area of a scarf .....so we have that...
N = k / A
And we know that
15 = k / 4 multiply both sides by 4
60 = k
N = 60 / 5
12 = number of scarves she can make when each has an area of 5 ft^2