The Big Scorer

Algebra Level 2

A basketball player scored 40 points in a game that caused his scoring average to raise from 27 to 28. How many games he had played now (including this game)?


The answer is 13.

Piolo Andrew Azuela by Piolo Andrew Azuela , 22, Philippines

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2 solutions

Anatole Dahan
Apr 10, 2014

Let n n be the number of games played. We have 27 ( n − 1 ) + 40 = 28 n 27(n-1)+40=28n Therefore, 27 n − 27 + 40 = 28 n ⇔ n = 13 27n-27+40=28n \\ \Leftrightarrow \boxed{n=13}

3 Helpful 0 Interesting 0 Brilliant 0 Confused

yes the same

Abdelrhman Azooz - 7 years, 1 month ago

x=total score before 40 runs inning y=no of innings before this present one x/y=27 (x+40)/(y+1)=28 y=12 y+1=13

Uma Sirisha - 7 years, 1 month ago

the same (anatole)

Moutazz Alaref - 7 years, 1 month ago
Suyash Goel
May 21, 2014

Let 'a' be the average score before the game and 'n' be the number of games before last game

a/n=27 (a+40)/(n+1)=28

After substituting a=27n

n=13

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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