A)
Let's say her book consists of 7 units in total.
On Monday, she read [tex] \frac{2}{7} [/tex] of her book, which also means, the number of units she read is:
7 × [tex] \frac{2}{7} [/tex]
{Cancel out the 7s from numerator and denominator to become 1, which leaves us with 2 in the numerator}
= (1×2)/1
= 2 units
The remaining number of units she has yet to read after Monday is:
7units - 2units = 5units
On Tuesday, she read half of the remaining pages, which also means that she read half of the remaining units. The number of units she read of Tuesday will then be:
5units × [tex] \frac{1}{2} [/tex]
= [tex] \frac{5}{2} [/tex]
= 2.5units
The fraction of the book she read on Tuesday will be:
Number of units she read on Tuesday divided by Total number of units in the book
= 2.5units ÷ 7units
= 5units ÷ 7units
{The units cancel out}
=5/7
B)
Number of units she read on Monday = 2units
Number of units she read on Tuesday = 2.5units
Thus, she read 2.5units - 2units = 0.5units more on Tuesday than on Monday. From the question, she read 8 pages more on Tuesday than on Monday.
This means that 0.5units = 8pages.
Thus, 1unit = 16pages.
There are 7units in total in the book.
7units = 16pages × 7
= 112pages
Hope this helps! :)
