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Pachacha [2.7K]
3 years ago
8

Suppose you are replacing the carpet in the living room where the length of the living room is five feet shorter than twice its

width, w. Tack strip is placed around the perimeter of the room, which is equal to five times the width. If carpet costs $2.99 a square foot, what the total cost to carpet the living room?
Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answer:

$149.50

Step-by-step explanation:

Width = x

Length = 2x - 5

Perimeter of the room = 5x

Perimeter of the room = 2(length + width)

5x = 2{(2x-5) + x}

5x = 2(2x - 5 + x)

5x = 4x - 10 + 2x

5x = 6x - 10

5x - 6x = -10

-x = -10

x = 10

Width = x = 10

Length = 2x - 5

= 2*10 - 5

= 20 - 5

= 15

Perimeter of the room = 5x

= 5 × 10

= 50 square foot

If carpet costs $2.99 a square foot, what the total cost to carpet the living room

Total cost = $2.99 × 50

= $149.50

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Replcaing equation (3) into equation (2) we got:

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Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

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And for the water we have:

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If we solve for X from equation (1) we got:

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And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0
3 years ago
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