Question

Anita and Joelle bowled 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.

Answer 1

Call Anita's score $"y"$ and Joelle's score $"x"$.

1) "their combined total score for one game was 425 points"
Therefore $x+y=425$

2)"Anita’s score was 40 less than twice Joelle’s." 
Therefore $y=2x-40$

Substitute:
$x+2x-40=425$

Solve:
$3x=465$
$x=155$

Backsubstitute:
$y=2x-40$
$y=2(155)-40$
$y=270$