Question

Anita and Joelle bowl together and their combined total score 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.









A.

x – y = 425
y = 2x – 40








B.

x + y = 425
y = 2x + 40








C.

x + y = 40
y = 2x – 425








D.

x + y = 425
y = 2x – 40

Answer 1

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)