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In 1999, Diana read 10 English books and 7 French books. In
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07 Feb 2019, 14:36
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
A) 16
B) 26
C) 32
D) 39
E) 48
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Re: In 1999, Diana read 10 English books and 7 French books. In
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08 Feb 2019, 06:52
08 Feb 2019, 06:52
1
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
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
Cheers,
Brent
Re: In 1999, Diana read 10 English books and 7 French books. In
[#permalink]
24 Apr 2021, 21:22
24 Apr 2021, 21:22
1
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
A) 16
B) 26
C) 32
D) 39
E) 48
In 1999, total books read = 10+7 = 17
Consider x as no of English books read.
In 2000, Total books read = x + 2x = 3x
60% of books were French. Therefore,
3/5*(17+3x) = 7+2x
x = 16
Total books read = 3x = 48
Hence, E
