Hi there ,
please help me to understand this quastion soulution
:
Four brothers Adam, Bill, Charles and David together contributed certain amount of money and purchased a car. The contribution made by Adam is half that of the total contribution made by the other three brothers, contribution made by Bill is one-fourth of the total contribution made by the other three brothers and the contribution made by Charles is two-third of the total contribution made by the other three brothers. If the total price of the car is $9900, find the contribution made by David.
Answer Choices
A. $540
B. $580
C. $600
D. $660
E. $680
the right answer is D, please explain in details .
Tnx
need your help ratio problem
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- kmittal82
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Let total (t) = a +b + c + d. We know that t = 9900, but lets keep it t for now
a = (b+c+d)/2 = (t-a)/2, so a = t/3
Similarly
b = (t-b)/4, so b = t/5
c = (t-c)x 2/3 = 2t/5
Putting it back in original equation, we have
d = t - (a + b + c)
= t - (t/3 + t/5 + 2t/5)
= 9900 - 3300 - 1980 - 3960
= 9900 - 9240
= 660
a = (b+c+d)/2 = (t-a)/2, so a = t/3
Similarly
b = (t-b)/4, so b = t/5
c = (t-c)x 2/3 = 2t/5
Putting it back in original equation, we have
d = t - (a + b + c)
= t - (t/3 + t/5 + 2t/5)
= 9900 - 3300 - 1980 - 3960
= 9900 - 9240
= 660