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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?

Arianna can make blank scarves.

User Handoko
by
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1 Answer

3 votes

Answer:

12 Scarves

Explanation:

Given.

number of scarves is N

Area of scarves is A

N ∝
(1)/(A)


N = k(1)/(A)-------------(2)

where k is the constant value of the above equation

If area of each scarves is 4 square feet, then she can make 15 scarves.


4 = k(1)/(15)


k=15* 4\\k =60

If area of each scarves is 5 square feet, then how many scarves can she make.

Area of scarves is 5 square feet that means
A=5

Put the A, k value in equation 2


N = 60* (1)/(5)


N = (60)/(5)


N=12

Therefore, Arianna can makes 12 scarves.

User Steve Childs
by
7.5k points
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