A small town library begins the year with an inventory of 3500 books. During a t
ID: 2895158 • Letter: A
Question
A small town library begins the year with an inventory of 3500 books. During a typical year the library can purchase 50 new books and receives donations of 100 books. Over the course of the year patrons typically borrow 550 books, but only 540 are returned. About 15 books each year are determined to be damaged or obsolete and are sent to a paper recycler. Space in the library is limited, so the plan is to grow the book inventory by 20 books per year. Near the end of each year, the library holds a used book sale to keep the inventory under control. Use conservation and accounting methods to determine how many books should be sold at the annual used book sale. Remember to create a diagram showing all the information and use symbols for unknown or variable information, including the inventory at any time
Explanation / Answer
Library can hold (A) 3500 Books in begining of year and its space grows (G) by 20 in year.
So total Space available in end of year = A+G =3500 + 20 = 3520
Total Books comes in library =Library can purchase in a year (B)+Library receives donation in a year (C) +Books borrowed in a year (D)
Total Books comes in Library = B+C+D = 50+100+550 = 700
Total Books goes out of Library = Returned borrowed Books in a year (E ) + Damaged or obsolete (F)
Total Books goes out of Library = E+F = 540 + 15 = 555
Number of books increase in a year (H) = 700 - 555 = 145
Total number of Books at end of year = Books in begining of Year (A) + Increase in Books (H)
Total number of Books in the end of the year = 3500 + 145 = 3645
Space available at the end of year = 3520
Books should be sold at the annual used book sale = Total number of Books in the end of the year - Space available at the end of year
Books should be sold at the annual used book sale = 3645 - 3520= 125
125 books should be sold at the annual used book sale.
Inventory stock at beginning of year (A) = 3500 Books Library can purchase in a year (B) = 50 Books Library receives donation in a year (C ) = 100 Books Books borrowed in a year (D) = 550 Books Returned borrowed Books in a year (E ) = 540 Books Damaged or obsolete (F) = 15 Books Space grows (G) = 20 BooksRelated Questions
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