Question

The baseball team needs new equipment. Company A can provide 9 helmets, 6 bats, and 12 balls for $525. Company B can provide 10 helmets, 8 bats, and 10 balls for $600. Company C can provide 8 helmets, 5 bats, and 15 balls for $500. Which system of equations matches the equipment choices available for purchase? 9x + 6y + 12z = 525 10x + 8y + 10z = 600 8x + 5y + 15z = 500 9x + 12y + 6z = 525 10x + 8y + 10z = 600 8x + 5y + 15z = 500 9x + 6y + 12z = 525 10x + 10y + 8z = 600 8x + 5y + 15z = 500 9x + 6y + 12z = 525 10x + 8y + 10z = 600 8x + 15y + 5z = 500

Answer 1

Choice A.

Explanation:

Let x = price of a helmet, y = price of a bat, z = price of a ball.

Company A can provide 9 helmets, 6 bats, and 12 balls for $525.

9x + 6y + 12z = 525

Company B can provide 10 helmets, 8 bats, and 10 balls for $600.

10x + 8y + 10z = 600

Company C can provide 8 helmets, 5 bats, and 15 balls for $500.

8x + 5y + 15z = 500

Answer: Choice A.

Answer 2

The correct option is A.

Explanation:

Let the price of a helmet is x, the price of a bat is y and the price of a ball is z.

It is given that Company A can provide 9 helmets, 6 bats, and 12 balls for $525. The equation for Company A is

`9x+6y+12x=525`

It is given that Company B can provide 10 helmets, 8 bats, and 10 balls for $600. The equation for Company B is

`10x+8y+10x=600`

It is given that Company C can provide 8 helmets, 5 bats, and 15 balls for $500. The equation for Company C is

`8x+5y+15x=500`

The system of equations is

`9x+6y+12x=525`

`10x+8y+10x=600`

`8x+5y+15x=500`

Therefore the correct option is A.