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Can anyone figure this out?
The sum of four numbers is 771
The ratio of the 1st to the 2nd is 2:3
The ratio of the 2nd to the 3rd is 5:4
The ratio of the 3rd to the 4th is 5:6
Find the 2nd number
Somebody told me to do:
a+b+c+d=771
2a=3b
5b=4c
5c=6d
& to substitute or something
But my question is, how do I substitute to find the answer? The help is appreciated
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Where were you?
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Lol…thanks? :P
a+b+c+d=771
2a=3b
2a/3=b
5(2a/3)/4=c —> (10a/15)/4=c
5(10a/15)/6=d –> (50a/75)/6=d
Working on it … I vaguely remember this … there is someway you use all three equations. But, **** it is like 1:30 AM … give me a second kid.
its simple actually..
2a=3b
5b=4c
5c=6d
since 2a=3b, b =2a/3
similarly c= 5b/4which also means c= 5/4 (2a/3)= 5a/6
d = 5c/6 = 25/36a
now substitute all these and u will get a equation containing only a
in my previous post read the last line as d= 25a/36 . sorry for the typo
I get b=181.411764, a=114.113851992
working on the last two…
Dracoreds tell me if that is what you get. It has been forever since I have done one of these.
well the values come to a= 241.35
b= 160.9
c= 201.13
d= 167.6
Can you write out how you got that? I keep screwing this up and am getting frustrated with myself. I am sure you are right, because your numbers fit.
u trying to get ur homework done without effort on
ur part??
:)
well..the equation after substitution comes out to
a + 2a/3 + 5a/6 + 25a/36 = 771
or 115a/36 = 771
or a = 241.35
am sure u can work out the rest.
Not my homework … It was the person who posted this, but I was going to try and help him with the problem. Now I am frustrated with myself.
I end up with 110a/36=771. Am I adding wrong?
a+(2a/3)+(5a/6)+(25a/36) –> (36a/36)+(24a/36)+(25a/36)+(25a/36) –>
(36a+24a+50a/36) =771
yeah..it shud be (36a/36)+(24a/36)+(30a/36)+(25a/36)
OMG! I AM SUCH AN IDIOT! I will blame it on the time here … but ****. I can pass Calc., but I screw something like that up …
SCREAMING IN MY MIND>
it happens… but u were on the right track… was fun solving it
Yeah, it has been awhile since I have seen one of those.
Isn’t there another way where you can add the different equations together or something? (Do you know what I am thinking of?)
there can be many ways.. but they will essentially boil down to reducing all the variables to a single one in the end.
Oh wait, I remember what I am thinking of…
4x+3y+2z= Whatever
2x+3y+5z= Whatever
And then you can find out what x equals between both equations by adding both equations together and then solving for each variable one way or another.
Ringing a bell at all … I don’t think these are the voices in my head talking again … I just vaguely remember this.
even in that.. u will have to first substract the two resulting in an equation with only 2 variables.. then substitute again to get it to one variable..same thing
(4x+3y+2z)- (2x+3y+5z) = whatever
resulting in 2x-3z = whatever
Yes exactly … well thank you for the help. It is really true, if you don’t use it, you lose it. I should be better about keeping my mind in better shape.
play chess…. :D
just kidding
a+b+c+d = 771 ….. eq(1)
a/b = 2/3 which implies b = 3a/2
b/c = 5/4 which implies c = 4b/5 = 12a/10
c/d = 5/6 which implies d = 6b/5 = 72a/50
Substitute in eq (1)….
a + b + c + d = 771
a + 3a/2 + 12a/10 + 72a/50 = 771
a = 150
b= 3(150)/2 = 225
solved……………
rizwanazim…. u have got it all wrong.
a/b comes to 3/2 and not 2/3.
moreover going by ur calculations.. a= 150, b=225, c= 180, and d= 270
the total doesnt come to 771.
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