exek07172
contestada

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.

Respuesta :

twvogels
Call Anita's score [tex]"y"[/tex] and Joelle's score [tex]"x"[/tex].

1) "their combined total score for one game was 425 points"
Therefore [tex]x+y=425[/tex]

2)"Anita’s score was 40 less than twice Joelle’s." 
Therefore [tex]y=2x-40[/tex]

Substitute:
[tex]x+2x-40=425[/tex]

Solve:
[tex]3x=465[/tex]
[tex]x=155[/tex]

Backsubstitute:
[tex]y=2x-40[/tex]
[tex]y=2(155)-40[/tex]
[tex]y=270[/tex]

Otras preguntas