High School

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Anita is getting used to reading books every day so it's not too heavy. The number of book pages read starts a little but then increases. She targets to read 2 pages per day for weeks. Next, her daily target increases to 3, 4, ... per day. Book 'A' consists of 356 pages. After being read for 2 months (1 month = 4 weeks), how many pages remain unread?

Answer :

To determine how many pages remain unread in Book 'A' after 2 months, we need to calculate the total number of pages Anita reads during this period and then see how many pages are left from the total.

Step-by-Step Calculation:

  1. Initial Reading Plan for 2 Weeks:

    • If Anita reads 2 pages per day for the first week, and a week has 7 days, then in 1 week she reads:

    [tex]2 \text{ pages/day} \times 7 \text{ days} = 14 \text{ pages/week}[/tex]

    • In the first 2 weeks, Anita reads:

    [tex]14 \text{ pages/week} \times 2 = 28 \text{ pages}[/tex]

  2. Increasing Daily Target:

    • For the remaining 6 weeks (since 2 months = 8 weeks, and the first 2 are already accounted for), her daily target increases by 1 page each week starting from 3 pages/day:

    • Week 3: 3 pages/day

    [tex]3 \text{ pages/day} \times 7 \text{ days} = 21 \text{ pages}[/tex]

    • Week 4: 4 pages/day

    [tex]4 \text{ pages/day} \times 7 \text{ days} = 28 \text{ pages}[/tex]

    • Week 5: 5 pages/day

    [tex]5 \text{ pages/day} \times 7 \text{ days} = 35 \text{ pages}[/tex]

    • Week 6: 6 pages/day

    [tex]6 \text{ pages/day} \times 7 \text{ days} = 42 \text{ pages}[/tex]

    • Week 7: 7 pages/day

    [tex]7 \text{ pages/day} \times 7 \text{ days} = 49 \text{ pages}[/tex]

    • Week 8: 8 pages/day

    [tex]8 \text{ pages/day} \times 7 \text{ days} = 56 \text{ pages}[/tex]

  3. Total Pages Read:

    • Adding up all pages read over the 8 weeks:

    [tex]28 + 21 + 28 + 35 + 42 + 49 + 56 = 259 \text{ pages}[/tex]

  4. Pages Remaining Unread:

    • The total number of pages in Book 'A' is 356.
    • Therefore, the pages remaining unread are:

    [tex]356 - 259 = 97 \text{ pages}[/tex]

Conclusion:

After reading for 2 months, Anita has 97 pages left to read in Book 'A.'

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