Math problem >.<

[ramram]

hi ... i need some help please in the ''sets'' lesson in math i use ''the extended mathematics for IGCSE'' book .

the problem :
in a street of 150 houses, three different newspapers are delivered: T , G and M of these, 40 receive T, 35 receive G and 60 receive M. 7 receive T and G , 10 receive G and M and 4 receive T and M, 34 receive no paper at all. how many receive all three?
NOTE: if ''7 receive T and G'' this information doesnt mean 7 receive T and G only.

please help me i dont know how to solve this kind of problems at all ,and please show me the answer with steps not only the final answer i know what it is but i dont know the steps and thnx you for your time .

 

[Noor]

okaaay..let me see if I can solve it for you....We're doing the same thing :]
draw the universal set and three circles in it. G will share a part of it with M and another part with T. T will share a part of it with M.
:/ then put 34 in the universal set in no circle.....then I got confuussssseeeddd xD why don't you send me the answer please :S
sorry for the incomplete answer but the last note is ruining the whole answer :[

 

[Chem_master]

according to my calculation the equation is....
40-x+7+35+10-x+60+4=150
which makes x to be 3.
Is that the right answer ramram?

 

[AnGeL.Of.DaRkNeSs]

u should ask MATH ANGEL but i also think like norr the last NOTE thingy is ruining everything

 

[Noor]

u should ask MATH ANGEL but i also think like norr the last NOTE thingy is ruining everything

yeah rightt??

 

[Noor]

according to my calculation the equation is....
40-x+7+35+10-x+60+4=150
which makes x to be 3.
Is that the right answer ramram?

chem. master, I think you went faaar away from the q. cuz it's a sets questions and ven diagram thing
so there's no X for you to find its value
or you were finding some particular part of the diagram, weren't you??

 

[ramram]

no actually Chem_master is so near to the answer but its 2 not 3 and i have used his same equation but i cant make it 2 do you think it might be a mistake or something ?? cauz i tried everyhting but it never give 2 and i think we didnt use the note that he wrote in the problem... i dont understand it but i think its important.

 

[beacon_of_light]

here you go.... !!!

let 'x' be the houses receiving all the three newspapers...

so work out a Venn diagram ...

Solve by adding all and equating to 150 and you get your answer that is "2" ...

 

[anahita16]

i agree with beacon_of_light .
i also got 2! is it ok ramram?

 

[XPFMember]

i'm so sorry!! i didnt notice u all r stuck with this question!! anyways i have checked and beacon_of_light has done it correct...if u have any confusions....dont hesitate to ask!!

 

[ramram]

thanks alot beacon_of_light and everyone too for your time but i have one little thing to ask about sorry this lesson is confusing me alot >.<
in T beacon_of_light put 29+x but why i thought T recived 40 so it should be 40-x so why did we write 29+x ? i know his one is right but i realy dont understand why.

 

[Noor]

here you go.... !!!

let 'x' be the houses receiving all the three newspapers...

so work out a Venn diagram ...

Solve by adding all and equating to 150 and you get your answer that is "2" ...

ohhh yeah riggght you're amazing
never thought of it this way xD

 

[XPFMember]

thanks alot beacon_of_light and everyone too for your time but i have one little thing to ask about sorry this lesson is confusing me alot >.<
in T beacon_of_light put 29+x but why i thought T recived 40 so it should be 40-x so why did we write 29+x ? i know his one is right but i realy dont understand why.

ok if u have problem forthat ...lets suppose that area be y so adding up all eg in T shud give 40 so
y + 7 - x + 4 - x + x = 40
y + 11 - x = 40
y = 40 - 11 + x
y = 29 + x

so hope its cleared now...this is the reasoning

 

[ramram]

ooooh got it now thnx alot guys for caring.

 

[XPFMember]

no problem ...my pleasure to help u =)