We are given combined annual income of Christine and Peter =$190,500
let annual income of Christine =x
Annual income of Peter =y= 190,500 -x...........(1)
Now Christine earns $30,500 more than Peter
[tex] x=y+30,500 [/tex]...............(2)
plugging value of y from equation (1) in (2)
[tex] x=190500-x+30500 [/tex]
adding x on left side,
[tex] x+x=190500+30500 [/tex]
[tex] 2x=221000 [/tex]
dividing both sides by 2
[tex] x=221000/2 [/tex]
x=110500
Annual income of Christine =x=$110,500
Annual income of Peter =y= 190,500 -x=190500-110500= $80,000
Hello,
Peter : x
Christine : x + 30 500
Sum : x + ( x + 30 500 ) = 190 500
x + x + 30 500 = 190 500
2x + 30 500 = 190 500
2x = 190 500 - 30 500 = 160 000
x = 160 000 / 2 = 80 000
Christine : 80 000 + 30 500 = 110 500
Sum : 110 500 + 80 000 = 190 500
