In a football match, for every 2 goals that Georgetown score, Hatville score 5 times. 14 goals are scored in total. How many goals did each team score?

Answer 1

Let x be the number of goals scored by Georgetown and y be the number of goals scored by Hatville.

According to the given information:
- For every 2 goals Georgetown score, Hatville score 5 times, so y = 5(x/2) = 5x/2
- Total goals scored is 14, so x + y = 14

Substitute y = 5x/2 into the second equation:
x + 5x/2 = 14
2x + 5x = 28
7x = 28
x = 4

Substitute x = 4 back into the second equation:
4 + y = 14
y = 10

Georgetown scored 4 goals and Hatville scored 10 goals.