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Math

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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

#1
+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

CPhill  Jan 17, 2016
Sort:

#1
+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

CPhill  Jan 17, 2016
#2
+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
+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
+78577
0

I beat Melody....!!!

I beat Melody .....!!!

LOL....!!!!!!

CPhill  Jan 17, 2016
#5
+78577
0

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

HAHAHA!!!!!

CPhill  Jan 17, 2016
#6
+90996
0

I have to let you win sometimes Chris.

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

Melody  Jan 17, 2016
#7
+78577
+5

Melody  turns......Molehills

Into

[ Hehehe  !!!!!!]

CPhill  Jan 17, 2016

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