SOLUTION: Harold phone 36 apps, 4/9 of which are games. He downloads more games( and no other apps) so that 2/3 of the apps on his phone are now now games. How many games did he download?
Question 1141630: Harold phone 36 apps, 4/9 of which are games. He downloads more games( and no other apps) so that 2/3 of the apps on his phone are now now games. How many games did he download? Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website! .
1) of 36 apps is 16 apps.
So, Harold had 16 games in his phone initially.
2) The new proportion is
= ,
which implies
3*(16+x) = 2*(36+x)
48 + 3x = 72 + 2x
3x - 2x = 72 - 48
x = 24.
ANSWER. Hi downloaded 24 games.
4/9 of 36 is 16; so he originally had 16 games and 20 other apps.
He adds more games and no other apps, after which 2/3 of the apps are games. So
Solve using basic algebra....
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Or try solving using logical reasoning instead of formal algebra; something like this:
There are 20 apps on his phone that are not games. After he adds the additional game apps, those 20 other apps are now 1/3 of the total (because 2/3 are now games).
1/3 of the total being 20 apps means the total number of apps is now 3*20 = 60. And since he originally had a total of 36 apps, the number of game apps he added was 60-36 = 24.