Question

Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. Kami pays $30 for 6 yards of landscaping fabric and 3 yards of chicken wire. What is the price of 1 yard of chicken wire?

Answer 1

Answer: the price of 1 yard of chicken wire is $2

Step-by-step explanation:

Let x represent the cost of one yard of landscaping fabric.

Let y represent the cost of one yard of chicken wire.

Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. This means that

3x + 6y = 24 - - - - - - - - - - 1

Kami pays $30 for 6 yards of landscaping fabric and 3 yards of chicken wire. This means that

6x + 3y = 30 - - - - - - - - -2

Multiplying equation 1 by 6 and equation 2 by 3, it becomes

18x + 36y = 144

18x + 9y = 90

Subtracting

27y = 54

y = 54/27 = 2

Substituting y = 2 into equation 1, it becomes

3x + 6×2 = 24

3x = 24 - 12 = 12

x = 12/3 = 4

Answer 2

Answer:

$2 per yard.

Step-by-step explanation:

Let the price per yard of landscaping fabric be f and the price of chicken wire per yard be c.

3f + 6c = 24     Multiply this equation by  - 2:

-6f - 12c = -48 Also:

6f + 3c = 30

Adding the last 2 equations:

-9c = -18

c = 2.