# Thread: Setting up a system of equations for a matrix

1. ## Setting up a system of equations for a matrix

The director of a public playground is ordering a supply of baseball equipment. He wishes to have two gloves for every ball and one bat for every three gloves. The unit prices for gloves, bats, and balls are $4.00,$3.00, and $0.50, respectively. The director has a budget of$157.50.
What equipment should be ordered?

Set up the system of equations (don’t forget to define your variables), put it in matrix format, and solve using row operations to get to the reduced row-echelon form.

I'm just not sure how to set up the system of equations, i don't need help with the actual matrix part
thanks for any help

2. Originally Posted by ihatemath09
The director of a public playground is ordering a supply of baseball equipment.
First name things: x= number of gloves, y= number of balls, z= number of bats.

He wishes to have two gloves for every ball
x= 2y which is the same as x- 2y= 0.

and one bat for every three gloves.
x= 3z which is the same as x- 3z= 0.

The unit prices for gloves, bats, and balls are $4.00,$3.00, and $0.50, respectively. The director has a budget of$157.50.
The cost of x gloves, y balls and z bats is 4x+ .5y+ 3z= 157.5

What equipment should be ordered?

Set up the system of equations (don’t forget to define your variables), put it in matrix format, and solve using row operations to get to the reduced row-echelon form.

I'm just not sure how to set up the system of equations, i don't need help with the actual matrix part
thanks for any help

3. thank you very much