Ariana 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 ft.² then she can make 15 scarves if the area of each scarf is 5 ft.² how many scarves can she make?

Question

Mathematics

Gemma

13 December, 23:22

Ariana 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 ft.² then she can make 15 scarves if the area of each scarf is 5 ft.² how many scarves can she make?

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Elisha Rocha · Answer 1

Answer: The number of scarves Ariana would have made nine scarves

Step-by-step explanation: Let the area of the scarf be S

Let the area of the fabric be F

we know that N is inversely proportional to S

directly proportional to F

therefore N = F/S

15 = F/3

15 * 3 = F

F = 45 square feet

the number scarves made with area of each scarf being 5 square feet

N = 45/5

N = 9 scarves