Idris had 60 more books than Jim at first. Idris gave 1/3 of his books to Jim. Then, Jim gave 1/4 of his books to Idris. Idris’ uncle also gave 165 books to Idris. In the end, the number of books Idris had was twice the number of books he had at first. Find the number of books Idris had in the end.
2 answers
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Jim have number of books = x - 60
Idris gave 1/3 of his books to Jim
Jim have number of books = x - 60 + x/3
Jim gave t of his books to Idris,
So, Idris have
(x - x/3) + 1/4 (x - 60 + x/3)
Now, According to question. Number of books Idris have at the end is twice to that at the first.
2x/3 + 1/4 (4x/3 - 60) + 165 = 2x
X - 15 + 165 = 2x
x = 150
So, at the end number of books Idris have
= 2 * 150 = 300
Idris gave 1/3 of his books to Jim
Jim have number of books = x - 60 + x/3
Jim gave t of his books to Idris,
So, Idris have
(x - x/3) + 1/4 (x - 60 + x/3)
Now, According to question. Number of books Idris have at the end is twice to that at the first.
2x/3 + 1/4 (4x/3 - 60) + 165 = 2x
X - 15 + 165 = 2x
x = 150
So, at the end number of books Idris have
= 2 * 150 = 300
2 answers