Percentages and Fractions Problem Solving Question

Question

At halftime, Boarwarts Academy had scored all of the points so far in their annual match against Range Hill School. In the second half, each side scored three points. At the end of the match Boarwart Academy had scored 90% of the points. What fraction of the points in the match was scored in the second half?

 

I don't know to use my knowledge of fractions and percentages to answer this question.

Please can I have the solution for this question step by step as I really don't understand how to work out this question and also is there a way to do this question algebraically.

 

Thank You

Answer 1

Boarwarts scored N points at halftime.

The final score was n+3 to 3.

There are n+6 total points.

90% = 0.9

n+3

----- = 0.9

n+6

n+3 = 0.9 ( n+6)

n+3 = 0.9n + 5.4

0.1n +3 = 5.4

0.1n = 2.4

n = 24

They score 24 points in the first half.

The final score was 27 to 3.

27/30 = 9/10 = 90%