SOLUTION: 3. Anne and Stella both worked hard over the summer. Together, they earned a total of $345. Anne earned $35 more than Stella. How much did each of them earn? (a) Write a system of

Algebra ->  Finance -> SOLUTION: 3. Anne and Stella both worked hard over the summer. Together, they earned a total of $345. Anne earned $35 more than Stella. How much did each of them earn? (a) Write a system of      Log On


   

Question 1132495: 3. Anne and Stella both worked hard over the summer. Together, they earned a total of $345. Anne earned $35 more than Stella. How much did each of them earn?
(a) Write a system of two equations with two variables to model this problem.
(b) Use substitution or the elimination method to solve the system.
(c) Graph both equations.
(d) Answer the question.
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3. Anne and Stella both worked hard over the summer. Together, they earned a total of $345. Anne earned $35 more than Stella. How much did each of them earn?
let’s x be the amount Anne earned and y be the amount Stella earned
(a) Write a system of two equations with two variables to model this problem.
Together, they earned a total of $345=>
x%2By=345....eq.1
Anne earned $35 more than Stella
x=y%2B35......eq.2

(b) Use substitution or the elimination method to solve the system.
substitute x from eq.2 in eq.1
y%2B35%2By=345....eq.1.....solve for y
2y%2B35=345
2y=345-35
2y=310
y=310%2F2
y=155
now use eq.2 to find x
x=y%2B35......eq.2...substitute 155 for y
x=155%2B35
x=190

(c) Graph both equations.


(d) Answer the question.
Anne earned $190 and Stella earned $155