Question

Don scored 10 points higher than Rick on a test. Jackie scored 8 points less than Rick and Jared scored 3 points less than Jackie. The total score of all 4 of them combined was 315.

(A) Write an equation to represent this situation. (Define the variables you are using)

(B) Solve the equation and list everyone's score.

(C) Show how you will check your answer to see if you are correct.

Answer 1

I used R for Rick since I am putting everything in Rick's case. The equation would be (R+10)+(R-8)+(R-11)=315.
Once you add the same terms you end with 4R-9=315
You add 9 to both sides
4R=324
Then divide
R=81
For Don, since his is ten point higher, his would be 91.
Rick is 81.
Jackie would be 73 since it is 8 points less.
And Jared would be 70 since it is 3 point less.
Check by adding; 81+91+73+70=315
Tell me if this helps.