Answer:
Jessica scored 835 points,
and Tina scored 717 points.
Step-by-step explanation:
Let $j$ stand for Jessica Bradley, and let $t$ stand for Tina Harner. By turning the words of this problem into equations, we get:
j - 118 = t
and, j + t = 1552.
Now that we have a system of equations, all we have to do now is to solve it.
By substituting the value of t (first equation) into the second equation, we get:
j + (j - 118) = 1552.
Get rid of the parentheses:
j + j - 118 = 1552
Simplifing:
2j - 118 = 1552
2j = 1670
j = 835.
Now that we know how many points Jessica scored, we can easily find out how many points Tina scored. By sticking in the value of Jessica's score into the first equation.
835 - 118 = t
t = 717.
So, the answer to this problem is (j, t) = (835, 717).
