Question

Juan is reading a 312-page book for school. He reads 12 pages each day. How long will it take him to finish the book?

Answer 1

Hint: Juan’s reading routine is given to us. He reads 12 pages per day. We will suppose the number of days Juan took to complete the book be \[x\] days. Since, we are given the per day account of the number of pages being read, so we will divide the total number of pages in the book by the number of pages read in a day to get the values of \[x\]. Hence, we will get the number of days Juan will take to read the entire book.

Complete step by step solution:
According to the given question, we are given an account of the number of pages read by Juan per day, which is 12, and we are asked to find the number of days Juan will take to complete the book consisting of 312 pages.
We can use the unitary method here to find the required,
Let us say that the number of days Juan require to complete the book be \[x\] days.
The question says,
In one day Juan reads \[\to 12\] pages
So, in \[x\] days, Juan will read \[\to 312\] pages
We can write it as,
Number of pages read in \[x\] days = 312
\[\Rightarrow 12x=312\]
\[\Rightarrow x=\dfrac{312}{12}\]
\[\Rightarrow x=26\] days
Therefore, the number of days that Juan will take to complete reading the book is \[26\] days.

Note: The computation should not be confused and done step wise. We wrote \[12x\] as the number of pages because 12 pages are read per day and so in \[x\] days, the number of pages read are \[12x\] pages. We can solve the above question using the ratio proportion method too, that is,
It is given that Juan reads 12 pages in a day, this can be represented in the ratio form as,
\[12:1\] or \[\dfrac{12}{1}\]---(1)
So, he completes 312 pages in \[x\] days, in the ratio representation, we have,
\[321:x\] or \[\dfrac{321}{x}\]---(2)
Equating both the equations, as the ratio remains the same, so we have,
\[\dfrac{12}{1}=\dfrac{321}{x}\]
Solving for \[x\], we have,
\[\Rightarrow x=\dfrac{321}{12}\]
\[\Rightarrow x=26\]
Therefore, Juan will take 26 days to complete the entire book.