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Problem of the Week
Problem A and Solution
Books, Books, Books

Problem

The pictograph below shows how many books five students have each read this month. Each book icon represents a fixed number of books.

Student Books Read
Xuan book icon book icon book icon book icon book icon
Javya book icon book icon book icon
Natasha book icon book icon book icon book icon book icon book icon book icon book icon book icon book icon
Sanan book icon book icon book icon book icon
Brandon book icon book icon book icon book icon book icon book icon book icon
  1. Brandon read \(28\) books this month. How many books does each book icon represent in the pictograph?

  2. How many books were read in total by these students this month?

Solution

  1. Since Brandon has \(7\) book icons, we can skip count by \(7\)s until we get to \(28\). Doing this gives \(7\), \(14\), \(21\), \(28\). This means that each book icon represents \(4\) books read by a student.

    Alternatively, we could use a fair share strategy to determine how many books each book icon represents. We draw seven ovals, and add a tally to each oval one at a time until \(28\) tallies have been distributed. Then we end up with \(4\) tallies in each oval, which means that each book icon represents \(4\) books.

  2. Since each book icon represents \(4\) books read, we know that Xuan read \(5 \times 4 = 20\) books, Javya read \(3 \times 4 = 12\) books, Natasha read \(10 \times 4 = 40\) books, Sanan read \(4 \times 4 = 16\) books, and Brandon read \(7 \times 4 = 28\) books.

    Thus, in total these students read \(20 + 12 + 40 + 16 + 28 = 116\) books.