SOLUTION: Anita and Joelle bowl together, and their combined total scores for one game was 425 points. Anita's score was 40 less than twice Joelle's. What were their scores? Write a system o

Question 254853: Anita and Joelle bowl together, and their combined total scores for one game was 425 points. Anita's score was 40 less than twice Joelle's. What were their scores? Write a system of equations to model the problem if x represents Joelle's score, and y represents Anita's score.

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Anita and Joelle bowl together, and their combined total scores for one game was 425 points. Anita's score was 40 less than twice Joelle's. What were their scores? Write a system of equations to model the problem if x represents Joelle's score, and y represents Anita's score.
.
Let x = Anita's score
and y = Joelle's score
then
x + y = 425 (equation 1)
x = 2y - 40 (equation 2)
.
Use the definition of x from equation 2 and substitute it into equation 1:
x + y = 425
2y - 40 + y = 425
3y - 40 = 425
3y = 465
y = 155 (Joelle's score)
.
Anita's score:
x + y = 425
x + 155 = 425
x = 270 (Anita's score)
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