Question

Kayla wants to coach basketball. The Lady Falcons will pay her a monthly salary of

$2250 plus a bonus of $75 for every game they win. Their rival, the Lady Hornets
offered her a greater monthly salary of $2750 but only gives a bonus of $25 for every
game they win. Write a system of linear equations to determine how many games they
would have to win in order to receive the same pay from either team.
Write the system. You do not need to solve.

Answer 1

`$ \left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right. $`

If Kayla's team wins 10 games on each team, she would be paid the same amount.

Explanation:

Hello!

Let the amount of money earned be y, and the number of games they win be x.

For the Lady Falcons, the equation would be y = 2250 + 75x.

For the Lady Hornets, the equation would be y = 2750 + 25x.

The system would be
`\left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right.`.

_______________________________________________________

The question says not to solve, but we are going to solve it anyway for practice.

Solve the System

• y = 2250 + 75x
  y = 2750 + 25x
  
• y = 2250 + 75x
  -(y = 2750 + 25x)
  
• 0 = -500 + 50x
• 500 = 50x
• 10 = x

If Kayla's team wins 10 games on each team, she would be paid the same amount.