Question

A salesperson's weekly paycheck is 15% less than a second salesperson's paycheck. The two paychecks total $1425. Find the amount of each paycheck.

Answer 1

Set up a system of equations
Let x=first salesperson's paycheck
y=second salesperson's paycheck
x= y-.15y
x+y= 1425

Solve by substituting x
(y-.15y)+y= 1425
1.85y= 1425
y= 770.27

Substitute 770.27 for y in order to solve for x
x= (770.27)-.15(770.27)
x= 770.27-115.54
x=654.73

So the first salesperson(x) has a paycheck of $654.73 and the second salesperson(y) has a paycheck of $770.27.

Hope this helps!