Question

Henry receives a flat rate of $125 per day and can earn a $1.50 commission for each computer repair (r) he performs. Yolanda receives a flat rate of $92 per day and can earn $7.75 per computer sale (s) she makes. Which system of linear equations models their earnings?

Answer 1

Let the number of repairs be x

Henry:  125 + 1.5x
Yolanda : 92 + 7.75x

For both of them to be making the same amount of money
125 + 1.5x = 92 + 7.75x .  ← equation
7.75x - 1.5z = 125 - 92
6.25x = 33
x = 5.28

Answer
1) If the number of days worked is less than 5, Henry will make more money than Yolanda.
2) If the number of days worked is more than 5, Yolanda will make more money than Henry.