Question 1187830: N7000 was shared by four people in ratio x:2:1:3. If the least was N702, what is x?
Found 3 solutions by Theo, greenestamps, ikleyn:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i get x = 3.971509972
as a fraction, that is equal to 1394/351.702
the ratio is therefore 1394/351:2:1:3
let k be the common factor.
you get:
1394/351*k + 2k + k + 3k = 7000
multiply both sides of this by 351 to get
1394k + 702k + 351k + 1053k = 2457000
combine like terms to get:
3500k = 2457000
solve for k to get:
k = 702
your ratio is therefore:
1394/351:2:1:3
x is therefore equal to 1394/351.
it's not an integer, but it is the right value for x.
multiply all of the factors by 351 to get:
1394:702:351:1053.
the common factor will now be (1394 + 702 + 351 + 1053) * k = 7000
solve for k to get:
k = 2
when x is an integer, the ratio becomes:
1394:702:351:1053 with k = 2.
k is the common factor.
your solution should be:
either x = 1394/351 when the ratio is 1394/351:2:1:3 and the common factor = k is 702, or x = 1394 when the ratio is 1394:702:351:1053 and the common factor = k is 2.
either ratio is good, depending on whether you want the ratio to be in whole number or you can allow fractions.
this is the best i can do with this.
let me know if you have any questions.
theo
Answer by greenestamps(13198)  (Show Source):
You can put this solution on YOUR website!
In the given ratio, the "1" is the least share. So
the 2nd share is 2(N702)=N1404
the 3rd share is N702
the 4th share is 3(N702)=N2106
The first share is then N7000-(N1404+N702+N2106)=N2788
Then "x" in the problem is 2788/702=1394/351; which to several decimal places is 3.97151
Answer by ikleyn(52776)  (Show Source):
You can put this solution on YOUR website! .
It is really strange to me to see the number "702" in this problem as an input data.
It is the same as if somebody would come stating that the duration
of a day is 17 hours and 41 minutes, instead of 24 hours . . .
The number of 700, instead of 702, would be much more natural and adequate.
Twice, not, thrice check your source.
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