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Algebra Level 2

Shaka and Aaron play a game.

Shaka scores 30% of the maximum number of points. She misses the record by 15 points.

Aaron scores 40% of the maximum number of points. He exceeds the record by 35 points.

What is the maximum number of points in the game ?

250 50 100 200 500

1 solution

Sachin Sharma
Nov 23, 2015

Let the maximum number be $x$ and the record be $y$

According to data provided, we may frame following two equations

$x \times \frac{30}{100}=y-15$ , and

$x \times \frac{40}{100}=y+35$

On solving, we get, $x=\boxed{500}$