Question

The highest scorer of the​ women's basketball championship was Jessica Bradley. She scored 106 more points than Tina​ Harner, her teammate.​ Together, Bradley and Harner scored 1602 points. How many points did each player score during the​ championship?

Answer 1

Jessica Bradley scored 854 points and Tina Harner scored 748 points.

Explanation:

Let x be the points scored by Bradley and y the points scored by Harner. Bradley scored 106 more points than Harner, i.e., x-106=y and Bradley and Harner scored 1602 points together, i.e., x+y=1602, so, we should solve this linear equation system. We replace y = x-106 in x+y=1602, i.e., x+x-106=1602, this implies 2x=1708 and so x=1708/2=854. On the other side because we know that x=854 and y=x-106, we have that y=854-106=748

Answer 2

Answer: Bradley scored 854 points and Harner scored 748 points.

Explanation:

Start by representing the problem mathematically. "B" will represent Bradley's score, and "H" will represent Harner's score.

`B+H=1602` represents that the sum of the scores is 1602.

`B-H=106` represents that Bradley has 106 more points than Harner.

Now, combine the like terms in the two equations to get
`2B=1708`. Now divide each side by two to find that Bradley scored 854 points.

Now, we can just subtract Bradley's score from the total score to get Harner's score. 1602-854=748, so Harner scored 748 points.