SOLUTION: Javier and Kumar shared some cards. Javier took 4/11 of the cards while Kumar took the rest. If Kumar took 9 more cards than Javier, how many cards were there at first ?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Javier and Kumar shared some cards. Javier took 4/11 of the cards while Kumar took the rest. If Kumar took 9 more cards than Javier, how many cards were there at first ?      Log On


   

Question 1184105: Javier and Kumar shared some cards. Javier took 4/11 of the cards while Kumar
took the rest. If Kumar took 9 more cards than Javier, how many cards were there
at first ?
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let the total number of cards be x

if Javier took %284%2F11%29x of the cards while Kumar took %284%2F11%29x%2B9
x=%284%2F11%29x%2B%284%2F11%29x%2B9 .......both sides multiply by 11
11x=4x%2B4x%2B99
11x=8x%2B99
11x-8x=99
3x=99
highlight%28x=33%29 => highlight%2833%29 cards were there at first
=>Javier took %284%2F11%2933=12
=> Kumar took %284%2F11%2933%2B9=21


Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The algebra is always easier if you can form your equations without fractions.

Here is how I would solve this one.

Javier took 4/11 of the cards, so....

11x = number of cards
4x = number Javier took
therefore 11x-4x=7x = number Kumar took

Kumar took 9 more than Javier:

7x = 4x+9
3x=9
x=3

The total number of cards was 11x=33.

ANSWER: 33