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21 Jan 2025, 12:16
Kudos
Bookmarks
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
50% (02:10) correct
50% (03:43) wrong based on 4 sessions
History
Date
Time
Result
Not Attempted Yet
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
25 Jan 2025, 09:43
Kudos
Bookmarks
OE
Draw a picture representing a pile of books or a bookshelf.
In the two years the number of French books Diana read was 7 + 2x and the total number of books was 17 + 3x. Then 60% or \(\frac{3}{5}=\frac{7+2x}{17+3x}.\)
To solve, cross-multiply:
\(5(7 + 2x) = 3(17 + 3x) ⇒ 35 + 10x = 51 + 9x ⇒ x = 16\)
In 2000, Diana read 16 English books and 32 French books, a total of 48 books.
5.jpg [ 33.82 KiB | Viewed 144 times ]
Draw a picture representing a pile of books or a bookshelf.
In the two years the number of French books Diana read was 7 + 2x and the total number of books was 17 + 3x. Then 60% or \(\frac{3}{5}=\frac{7+2x}{17+3x}.\)
To solve, cross-multiply:
\(5(7 + 2x) = 3(17 + 3x) ⇒ 35 + 10x = 51 + 9x ⇒ x = 16\)
In 2000, Diana read 16 English books and 32 French books, a total of 48 books.
Attachment:
5.jpg [ 33.82 KiB | Viewed 144 times ]
