Question

The Lead-X Basketball team ordered three baskets of chicken strips and four small

sodas for a total of twenty-two dollars and twenty-nine cents. On Wednesday, they
ordered nine baskets of chicken strips and two small sodas for forty-three dollars and
forty-seven cents.
Write a system of equations that models this situation.
Use your system of equations to determine the exact cost of each item.

Answer 1

Let's represent the cost of one basket of chicken strips as 'c' and the cost of one small soda as 's'.


Equation 1: 3c + 4s = 22.29
This equation represents the cost of three baskets of chicken strips and four small sodas totaling $22.29.

Equation 2: 9c + 2s = 43.47
This equation represents the cost of nine baskets of chicken strips and two small sodas totaling $43.47.

Now, we can solve this system of equations to find the cost of each item.

Multiplying Equation 1 by 9 and Equation 2 by 3, we get:

27c + 36s = 200.61 (Equation 3)
27c + 6s = 130.41 (Equation 4)

Subtracting Equation 4 from Equation 3, we eliminate 'c':

(27c + 36s) - (27c + 6s) = 200.61 - 130.41
30s = 70.20

Dividing both sides of the equation by 30, we find:

s = 2.34

Now, we can substitute the value of 's' into either Equation 1 or Equation 2. Let's use Equation 1:

3c + 4(2.34) = 22.29
3c + 9.36 = 22.29
3c = 22.29 - 9.36
3c = 12.93
c = 4.31

Therefore, the exact cost of one basket of chicken strips is $4.31, and the exact cost of one small soda is $2.34.

Answer 2

Ye :)

Explanation:

Let's denote the cost of one basket of chicken strips as 'c' and the cost of one small soda as 's'.

From the given information, we can create a system of equations:

Equation 1: 3c + 4s = 22.29

(The total cost of three baskets of chicken strips and four small sodas is $22.29.)

Equation 2: 9c + 2s = 43.47

(The total cost of nine baskets of chicken strips and two small sodas is $43.47.)

We now have a system of two equations. To determine the exact cost of each item, we can solve this system of equations.

Using either substitution or elimination method, let's solve the system:

Equation 1 multiplied by 9: 27c + 36s = 200.61

Equation 2 multiplied by 3: 27c + 6s = 130.41

Now, subtract Equation 2 from Equation 1:

27c + 36s - (27c + 6s) = 200.61 - 130.41

30s = 70.2

Divide both sides by 30:

s = 70.2 / 30

s = 2.34

Substitute the value of 's' back into Equation 1:

3c + 4(2.34) = 22.29

3c + 9.36 = 22.29

3c = 22.29 - 9.36

3c = 12.93

Divide both sides by 3:

c = 12.93 / 3

c = 4.31

Therefore, the cost of one basket of chicken strips is $4.31, and the cost of one small soda is $2.34.