Question

Charlene earns $150 more per week than her roommate Kristi and $100 less than her other roommate, Sacha. Together the three friends earn $2050 per week. How much does each girl earn per week?

Answer 1

let earning of Kristi be x

Charlene = x+150

Sacha = x+100

total earning = 2050

solution = (x+150)+ x + (x+100)

3x + 250 = 2050

3x = 2050 - 250

x = 1800/3

x = 600

Kristi = x = 600

Charlene = x + 150 = 600+150= 750

sacha = x + 100 = 600 + 100 = 700

Answer 2

Answer:

Here we should find how much does each girl earn per week using the given information in the question.

Final Answer:

The amount Charlene earns per week = $ 700

The amount Kristi earns per week        = $ 550

The amount Sacha earns per week      = $ 800

Step-by-step explanation:

From the given question,

The amount Charlene earns per week = C

The amount Kristi earns per week        = K

The amount Sacha earns per week      = S

• Charlene earns $150 more than Kristi. It should be written as,

                       $C = K + 150$

                       $K= C-150$ ------------(1)

• Charlene earns $100 less than Sacha. It should be written as,

                       $C = S - 100$

                       $S= C + 100$ -------------(2)

• The three friends earn $2050 per week. That is,

       $C+K+S=2050$      ---------------(3)

• Now apply the equation(1) and equation(2) in equation(3).So that,

       $C+K+S=C+C-150+C+100=2050$

           $3C-50=2050$

                   $3C=2050+50$

                  $3C=2100$

                    $C=\frac{2100}{3}$

                    $C=\ 700$

• Now apply the value of C in equation(1).Then we can get the value of K.

                  $K=C-150$

                  $K=700-150$

                  $K=\ 550$

• Similarly, apply the value of C in equation(2).Then we can get the value of S.

                   $S=C+100$  

                  $S=700+100$

                  $S=\ 800$

Final Answer:

The amount Charlene earns per week = $ 700

The amount Kristi earns per week        = $ 550

The amount Sacha earns per week      = $ 800