Final answer:
To find Alexis' salary, we can calculate Gary's salary first. Assuming Gary's salary is x, we can form an equation and solve for x. Then, we can multiply Gary's salary by 2 1/2 to find Alexis' salary.
Step-by-step explanation:
To find the salary of Alexis, we need to first determine the salary of Gary. Let's assume that Gary's daily salary is x.
According to the given information, Alexis earns 2 1/2 times as much as Gary. This means Alexis earns 2.5x per day.
James earns $18 more than Gary daily. So, James' salary would be x + $18.
The total daily salary of all three individuals is given as $306. Therefore, the equation can be formed as: x + 2.5x + (x + $18) = $306.
Simplifying the equation, we get 4.5x + $18 = $306. Subtracting $18 from both sides, we have 4.5x = $288. Dividing both sides by 4.5, we find that x = $64.
Hence, Gary's daily salary is $64. To find Alexis' salary, we can multiply Gary's salary by 2 1/2 (or 5/2). So, Alexis' daily salary is 5/2 * $64 = $160.