Question

Define the variables being used, then write a system of equations for each of the word problems. Solve the system and make sure answers are reasonable.

a) 4 bats cost $36, and a dozen baseballs cost $72.
b) 4 bats cost $80, and 9 baseballs cost $269.50.
c) 3 bats cost $36, and a dozen baseballs cost $72.
d) 3 bats cost $80, and 12 baseballs cost $269.50.

Answer 1

To solve the system of equations for each word problem, define the variables and set up the equations. For each problem, solve the system to find the values of the variables.

Step-by-step explanation:

To solve the system of equations for each word problem, we need to define the variables and set up the equations.

For problem a): Let x represent the cost of a bat and y represent the cost of a baseball. We have the following equations:

4x = 36

12y = 72

Solving these equations, we find x = 9 and y = 6.

For problem b): Let x represent the cost of a bat and y represent the cost of a baseball. We have the following equations:

4x = 80

9y = 269.50

Solving these equations, we find x = 20 and y = 29.95.

For problem c): Let x represent the cost of a bat and y represent the cost of a baseball. We have the following equations:

3x = 36

12y = 72

Solving these equations, we find x = 12 and y = 6.

For problem d): Let x represent the cost of a bat and y represent the cost of a baseball. We have the following equations:

3x = 80

12y = 269.50

Solving these equations, we find x = 26.67 and y = 22.46.