Team A scored 7 more points than team B. Together, both teams scored a total of 163 points. How many points did team A score?

Question

Full question:

 

During the women's basketball championship game, team A scored 7 more points than team B. Together, both teams scored a total of 163 points. How many points did the Champion team A score during this game?

Answer 1

To solve this problem we want to let X equal the amount of points that team A scored. Now we want to express the amount of points that team B scored in terms of X. If team A scored 7 more points than team B then team B scored X-7 points. We know that together they scored 163 points so we can set up this equation:

 

x + x - 7 = 163

 

2x - 7 = 163

 

2x = 155

 

X = 78

 

Team A scored 78 points