Respuesta :
Let the number of pages read on day 1 be = x
Then on day 2 he read twice the pages from day one, it is = 2x
On 3rd day he read 6 pages less than 1st day, it is = x-6
Total pages are = 458
The equation becomes: [tex]x+2x+x-6=458[/tex]
[tex]4x-6=458[/tex]
[tex]4x=464[/tex]
[tex]x=116[/tex]
So on the third day, Aiden read [tex]x-6=116-6=110[/tex] pages.
The number of pages Aiden read totals to the total number of pages of books. On the third day, Aiden read total 110 pages.
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given condition, for the missing value, we can use variables.
Since all the number of pages can be found if we'd have known the number of pages he read on the first day, thus,
Let we take the number of pages Aiden read on the first day = P
Then, by the given condition, we get:
Number of pages Aiden read = twice the number of pages than he read on day one = [tex]2 \times P[/tex]
On third day = six pages less than what he read on first day = [tex]P - 6[/tex]
Since in these three days, he completed the whole book of 458 pages, thus, all these counts of pages he read in three days should total to 458. Or,
[tex]P + 2 \times P + P - 6 = 458\\4 \times P - 6 = 458\\\\\text{Adding 6 on both the sides and dividing by 4}\\\\\dfrac{4 \times P}{4} = \dfrac{458+6}{4}\\\\P = 116[/tex]
Thus, on the first day, Aiden read 116 pages.
Since on the third day, he read 6 pages less than the amount of pages he read on the first day, thus, number of pages he read on third day = 116 - 6 = 110
Thus, The number of pages Aiden read totals to the total number of pages of books. On the third day, Aiden read total 110 pages.
Learn more about forming equations here:
https://brainly.com/question/11938672
