Respuesta :
Answer:
The hourly rate of pay for:
Jude =$5 an hour
Ben = $4 an hour
Step-by-step explanation:
Let x represents Judy and y represents Ben.
As per the statement:Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80.
⇒[tex]8x + 10y =80[/tex] ......[1]
Also, it is given that When Judy worked 9 hours and Ben worked 5 hours, their combined pay was $65.
⇒[tex]9x+5y=65[/tex] .....[2]
Multiply equation [2] by 2 both sides we get;
[tex]2(9x+5y)=2 \cdot65[/tex]
18x + 10y = 130 .....[3]
Subtract [2] from [3] to eliminate y and solve for x;
18x + 10y -8x -10y = 130 -80
Simplify:
10x = 50
Divide both sides by 10 we get;
x = 5
⇒ Judy gets paid $5 an hour
Substitute value of x in [1] we get;
8(5) + 10y = 80
40 + 10y = 80
Subtract 40 from both sides we get;
40 + 10y - 40 = 80 -40
Simplify:
10 y = 40
Divide both sides by 10 we get;
y = 4
⇒Ben gets paid $4 an hour
