# Worded problem - getting an equation and solving it.

• May 11th 2011, 07:07 PM
droolz
Worded problem - getting an equation and solving it.
3 boys have 656 marbles.
Ali has 3 times more marbles than Bala.
Calvin has 34 few than Bala.
How many marbles does Bala have?
• May 11th 2011, 07:45 PM
TKHunny
Introduce useful notation
Name stuff.

A = # of marbles for Ali
B = # of marbles for Bala
C = # of marbles for Calvin

Now, start translating those sentences.

Let's see what you get.
• May 11th 2011, 09:02 PM
droolz
Quote:

Originally Posted by TKHunny
Introduce useful notation
Name stuff.

A = # of marbles for Ali
B = # of marbles for Bala
C = # of marbles for Calvin

Now, start translating those sentences.

Let's see what you get.

Ali = x
Bala = x/3
Calvin = x/3 -34?
• May 11th 2011, 10:00 PM
johnny
Correct. x + x/3 + (x/3 - 34) = 656, hence x = 414, therefore Bala has 138 marbles.
• May 11th 2011, 10:08 PM
droolz
Quote:

Originally Posted by johnny
138

can provide the formula? Thanks
• May 11th 2011, 10:10 PM
johnny
Solution is provided.
• May 11th 2011, 10:12 PM
droolz
thanks very much.
• May 11th 2011, 10:18 PM
droolz
Quote:

Originally Posted by johnny
Correct. x + x/3 + (x/3 - 34) = 656, hence x = 414, therefore Bala has 138 marbles.

apologies for being naive.

i cannot get the answer from the above formula.
• May 11th 2011, 10:27 PM
johnny
x + x/3 + (x/3 - 34) = 3x/3 + x/3 + (x/3 - 34) = 4x/3 + (x/3 - 34) = 5x/3 - 34 = 656
5x/3 - 34 + 34 = 656 + 34
5x/3 = 690
(5x/3)(3/5) = 690(3/5) = 414
∴ x = 414
Divide x by 3 to determine correctly that Bala has 138 marbles.
• May 11th 2011, 10:32 PM
droolz
oh. i calculated wrongly. no wonder i could not find the exact answer with my formula. Thanks ALOT!!!!