sabrina, bindu, manju and katherin are discussing about the number of books they have. sabrina tells bindu, "if I give you 8 books, you will have as many as manju has, and I will have 3 less than manju. lf I take away 6books from manju, I will have twice as many as katherine has" If bindu and katherine together have 50books, how many books does sabrina have
Answers
Sabrina has 40 Books
Step-by-step explanation:
Let say Bindu has Book = B
bindu and katherine together have 50books
=> Katherine has books = 50 - B
Let say Sabrina has Books = S
sabrina tells bindu "if I give you 8 books, you will have as many as manju has
=> B + 8 = Manju Books
S - 8 = Manju Books - 3
=> Manju Books = S - 5
S - 5 = B + 8
=> S = B + 13
=> B = S - 13
Sabrina take away 6books from manju, She will have twice as many as katherine has
S + 6 = 2 ( 50 - B)
=> S + 6 = 2 ( 50 - (S - 13))
=> S + 6 = 100 - 2S + 26
=> 3S = 120
=> S = 40
Sabrina has 40 Books
Additional info :
Sabrina = 40
Bindu = 27
Manju = 35
Katherine = 23
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Answer:
Let the number of book sabrina have x , Bindu have y , Manju have z .
Then number of books katherine have=50−y
A.T.Q. y+8=zy−z=8 ...(1)x−8=z−3x−z=5 ...(2)x−8+6=2(50−y)x+2y=102 ...(3)Subtracting (2) from (1) , we gety−x=3 ...(4)Adding (3) and (4)
3y=105. y=35 .35−x=3x=3232−z=5z=2
Sabrina have 32 books .
Manju have 35 books .
Bindu have 27 books .
Katherine have (50−35)=15 books .