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In 1999, Diana read 10 English books and 7 French books. In

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In 1999, Diana read 10 English books and 7 French books. In [#permalink] New post 07 Feb 2019, 14:36
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In 1999, Diana read 10 English books and 7 French books. In 2000, she read twice as many French books as English books. If 60% of the books that she read during the two years were French, how many books did she read in 2000? ​

A) 16

B) ​26

C) ​32

D) ​39

E) ​48
[Reveal] Spoiler: OA

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Re: In 1999, Diana read 10 English books and 7 French books. In [#permalink] New post 08 Feb 2019, 06:52
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Carcass wrote:
In 1999, Diana read 10 English books and 7 French books. In 2000, she read twice as many French books as English books. If 60% of the books that she read during the two years were French, how many books did she read in 2000? ​

A) 16

B) ​26

C) ​32

D) ​39

E) ​48


In 2000, she read twice as many French books as English books.
Let x = number of English books read in 2000
So, 2x = number of French books read in 2000


If 60% of the books that she read during the two years were French, how many books did she read in 2000? ​
Diana read 17 books (10 English and 7 French) in 1999, and she read 3x books (x English and 2x French) in 2000
So, 17 + 3x = the TOTAL number of books she read in two years

FRENCH BOOKS
Diana read 7 French books in 1999 and 2x French books in 2000
So, she read a TOTAL of 2x + 7 French books

If French books comprise 60% of the books she read in 2 years, we can write: (2x + 7)/(17 + 3x) = 60/100
Cross multiply to get: 100(2x + 7) = 60(17 + 3x)
Expand both sides to get: 200x + 700 = 1020 + 180x
Subtract 180x from both sides to get: 20x + 700 = 1020
Subtract 700 from both sides to get: 20x = 320
Solve: x = 320/20 = 16

BE CAREFUL! x = number of English books read in 2000, and we want the TOTAL number of books read in 2000

3x = TOTAL number of books read in 2000
3(16) = 48, so Diana read a TOTAL of 48 books in 2000

Answer: E

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Brent
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Re: In 1999, Diana read 10 English books and 7 French books. In   [#permalink] 08 Feb 2019, 06:52
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In 1999, Diana read 10 English books and 7 French books. In

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