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Ali, Bala, Clement and David shared some marbles. Ali took 28% of the marbles and Bala took 21% of the marbles. Clement took 1800 marbles more than Bala. David took the remaining 2700 marbles. How many marbles were there altogether?(help please, really hard question)

Guest Jan 17, 2016

Best Answer 

 #1
avatar+78577 
+24

Let N  be the number of total marbles

 

And we have that....

 

.28N + .21N  + [.21N + 1800]  + 2700  = N   simplify

 

.7N + 4500  = N       subtract .7N from both sides

 

4500  = .3N     divide both sides by .3

 

4500  / .3   = N  = 15,000

 

 

 

cool cool cool

CPhill  Jan 17, 2016
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7+0 Answers

 #1
avatar+78577 
+24
Best Answer

Let N  be the number of total marbles

 

And we have that....

 

.28N + .21N  + [.21N + 1800]  + 2700  = N   simplify

 

.7N + 4500  = N       subtract .7N from both sides

 

4500  = .3N     divide both sides by .3

 

4500  / .3   = N  = 15,000

 

 

 

cool cool cool

CPhill  Jan 17, 2016
 #2
avatar+90996 
+19

Yes, I can see it is a very conlfusing question. :)

 

Ali, Bala, Clement and David shared some marbles. Ali took 28% of the marbles and Bala took 21% of the marbles. Clement took 1800 marbles more than Bala. David took the remaining 2700 marbles. How many marbles were there altogether?(help please, really hard question)

 

Let Ali's share be A

Bala share is B

Clements share is C

David's share is D

Total is T and      T=A+B+C+D

 

A=0.28T

B=0.21T

C=B+1800

D=2700

 

21/3*4=28   so   21*  4/3 = 28         B * 4/3 = A

 

so

A= 4/3 * B

B=B

C=B+1800

D=2700

 

T= A+B+C+D

\(T=A+B+C+D\\ T=\frac{4B}{3}+B+B+1800+2700\\ T=\frac{4B}{3}+2B+4500\\ T=\frac{4B+6B}{3}+4500\\ T=\frac{10B}{3}+4500\\~\\ but\\ B=0.21T\\ so\\ T=\frac{10*0.21T}{3}+4500\\ \frac{3T}{3}=\frac{2.1T}{3}+4500\\ \frac{0.9T}{3}=4500\\ 0.3T=4500\\ T=4500\div 0.3\\ T=15000 \)

 

 

 

There were 15000 marbles.

I have checked this answer and you should too :)

Melody  Jan 17, 2016
 #3
avatar+90996 
+5

Hi Chris,

 

I did a good job of turning that mole hill into a little mountain didn't I     LOL    :D

Melody  Jan 17, 2016
 #4
avatar+78577 
0

I beat Melody....!!!

 

I beat Melody .....!!!

 

 

LOL....!!!!!!

 

 

cool cool cool

CPhill  Jan 17, 2016
 #5
avatar+78577 
0

Yep....you sure did......!!!!!

 

HAHAHA!!!!!

 

 

cool cool cool

CPhill  Jan 17, 2016
 #6
avatar+90996 
0

I have to let you win sometimes Chris.  

 

It would be rude if I didn't !     ://

Melody  Jan 17, 2016
 #7
avatar+78577 
+5

Melody  turns......Molehills

 

 

Into

 

 

 

 

[ Hehehe  !!!!!!]

 

cool cool cool

CPhill  Jan 17, 2016

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