Answer:
[tex]x = \frac{12}{7}\ books[/tex]
Step-by-step explanation:
Given
[tex]3\ books = 1\frac{3}{4}\ weeks[/tex]
Required
Number of books in 1 week
Represent the number of books in 1 week with x.
So, we have:
[tex]3\ books = 1\frac{3}{4}\ weeks[/tex]
[tex]x = 1\ week[/tex]
Cross Multiply
[tex]x * 1\frac{3}{4} = 3 * 1[/tex]
[tex]x * 1\frac{3}{4} = 3[/tex]
Convert fraction to improper fraction
[tex]x * \frac{7}{4} = 3[/tex]
Multiply through by [tex]\frac{4}{7}[/tex]
[tex]x * \frac{7}{4}*\frac{4}{7} = 3 * \frac{4}{7}[/tex]
[tex]x = 3 * \frac{4}{7}[/tex]
[tex]x = \frac{12}{7}\ books[/tex]
Hence: 12/7 books were read in a week
