Jill makes purses and backpacks. To make each purse, she uses 1foot less than half the amount of fabric she uses to make a backpack. Write an expression for the amount of fabric that jill needs to make a backpack, how many feet of fabric will she use to make a purse?

Question

Mathematics

Parker Holland

23 September, 18:10

Jill makes purses and backpacks. To make each purse, she uses 1foot less than half the amount of fabric she uses to make a backpack. Write an expression for the amount of fabric that jill needs to make a backpack, how many feet of fabric will she use to make a purse?

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Answers (1)

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Tess French · Answer 1

Step-by-step explanation:

Jill makes purses and backpacks.

Let x represent the number of foot of fabric required to make a purse.

Let y represent the number of foot of fabric required to make a backpack.

To make each purse, she uses 1 foot less than half the amount of fabric she uses to make a backpack. This means that

x = (y/2) - 1

Therefore, the amount of fabric that Jill needs to make backpack will be

y/2 = x-1

y = 2 (x-1) = 2x - 2

The number of feet of fabric that she will use to make a purse is

x = (y/2) - 1