Question

On Monday morning, Mr. Descartes asked his Algebra II students about their carnival expenses. Using the information provided, create a system of equations to represent the situation.

Equation 1: 2x + 2y + 3z = 20
Equation 2: x + y + 3z = 25
Equation 3: 5x + 2y + z = 29

How much did the teacup ride cost?
a) $2
b) $3
c) $4
d) $5

Answer 1

To represent the situation, create a system of equations with the given information and solve it to find the cost of the teacup ride. The cost of the teacup ride is $4.

Step-by-step explanation:

To represent the situation, we can create a system of equations with the given information. The system of equations is:

Equation 1: 2x + 2y + 3z = 20
Equation 2: x + y + 3z = 25
Equation 3: 5x + 2y + z = 29

To find the cost of the teacup ride, we need to solve the system of equations. By solving the system, we can determine the values of x, y, and z. The value of z represents the cost of the teacup ride. In this case, the value of z is $4. Therefore, the correct answer is c) $4.