A salesperson's weekly paycheck is 25% less than a second salesperson's paycheck. The two paychecks total $1425. Find the amount of each paycheck.
first salesperson's paycheck ?
second salesperson's paycheck?
x + .75x = 1425
x is the larger paycheck.
To solve this problem, let's assign variables to represent the two salesperson's paychecks.
Let's call the paycheck of the first salesperson "x."
Since the second salesperson's paycheck is 25% higher than the first salesperson's paycheck, we can say the second salesperson's paycheck is 1.25 * x.
According to the given information, the two paychecks combined equal $1425. We can write this as an equation:
x + 1.25 * x = 1425
To simplify this equation, combine the like terms:
2.25 * x = 1425
Now, we need to isolate x by dividing both sides of the equation by 2.25:
x = 1425 / 2.25
Evaluating the division gives us:
x = 633.33
Now, we have the first salesperson's paycheck: $633.33.
To find the second salesperson's paycheck, multiply the first salesperson's paycheck by 1.25:
1.25 * 633.33 = 791.67
Therefore, the second salesperson's paycheck is $791.67.