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?



Joelle: 180, Anita: 245

Joelle: 270, Anita: 155

Joelle: 140, Anita: 240

Joelle: 155, Anita: 270

Respuesta :

It would be the last choice Joelle: 155, Anita: 270

Answer:

Joelle:155,Anita:270

Step-by-step explanation:

Hello, I think i can help you with this.

Step 1

define

Let

A, Anita's score

J, Joelle’s score

According to the question data

  • their combined total score for one game was 425 points.in mathematics terms it is:

       A+J=425,equation (1)

  • Anita’s score was 40 less than twice Joelle’s: it means that you can take twice joelle's score  and subtract 40 to obtain Anita's scor

       2J-40=A,equation (2)

     ,

Step 2

find the values A and J

replace A from equation (2) into equation (1)

A+J=425

(2J-40)+J=425

solve for J

2J-40+J=425

3J=425+40

J=465/3

J=155

Now, put the value of J in equation (1) or equation (2) to find A

A+J=425

A+155=425

A=425-155

A=270

Hence, Joelle:155,Anita:270

Have a good day