Faye pays her family phone bill, and jonathan’s family phone bill with her card and jonathan pays her back. if faye bill is $120.00 dollars more than jonathan’s bill and has 2 more people on her bill than jonathan. the bill was $600.00, how many people does jonathan have on his bill and how much does he owe faye?

Jonathan has to pay Faye back US$ 240  

Jonathan has 4 people on his bill and Faye has 6.

Step-by-step explanation:

1. Let's find out the amount of the phone bills, this way:

Total of the two bills = US$ 600

Faye's bill = US$ 120 more than Jonathan's

Jonathan's bill = x

Solving for x, we can use this equation:

x + x + 120 = 600

2x + 120 = 600

2x = 600 - 120

2x = 480

x = 480/2 = 240

Jonathan has to pay Faye back US$ 240  

2. Let's find out the number of people on each bill, this way:

Faye has two people more on her bill than Jonathan

Number of people on Jonathan's bill = x

Number of people on Faye's bill = x + 2

We will use the following equation:

240 * (x + 2) = 360x

240x + 480 = 360x

240x - 360x = -480

-120x = - 480

x = -480/-120

x = 4 ⇒ x + 2 = 6

Jonathan has 4 people on his bill and Faye has 6.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2