Question

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 3 square feet, then she can make 15 scarves. If the area of each scarf is 5 square feet, how many scarves can she make? Arianna can make _____ scarves.

Answer 1

9 scarves

Explanation:

Inversely proportional means the product of each is equal. You can write 3 x 15 and 5n where n is the number of scarves. Set them equal and solve.

3 * 15 = 5n

45 = 5n

9 = n

She can make 9 scarves.