shiky12
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Amy, Siti and Tina have a total of 630 story books. Tina has 50 books more than Amy, Amy has 70 books more than Siti. How many story books does Tina have?
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Respuesta :

Let us assume the number of story books that Siti has = x
Then
The number of story books that Amy has = x + 70
The number of story books that Tina has = (x + 70) + 50
                                                                   = x + 120
Then
x + x + 120 + x + 70 = 630
3x + 190 = 630
3x = 630 - 190
3x = 440
x = 440/3
Then
The number of books that Tina has = (440/3) + 120
                                                         = (440 + 360)/3
                                                         = 800/3
                                                         = 266.66
So Tina has 267 books as the number of books cannot be represented by a fraction.

Siti's books  =  x
Amy's books = x+70
Tina's books = (x+70)+50=x+120

All books = x + (x+70) + (x+120)
And all books = 630

It means equation:
                                        x + x + 70 + x + 120 = 630
                                                          3x + 190 = 630
subtract 190 from both sides:               -190     -190
                                                                   3x = 440
divide both sides by 3:                                :3      :3   
                                                                     x = 146 2/3

Tina's books: x+120 = 146 2/3 +120=266 2/3

It means Tina has 266 or 267 story books (because book in fractions doesn't count for a book)
Or you wrote wrong numbers :)