Question

The table shows how many books the students in Bergdalsskolan list during the summer. There were 48 students who list 4 books. a) How many students had read 1 book? b) What percentage more read 2 books than 4 books?

Answer 1

Step 1:

First, find the total number of students.

Let the total number of students = m

Step 2:

Find the total number of students using the percentage of 4 books.

48 students listed 4 books with a percentage of 16%

`\begin{gathered} 48\text{ = 16\% of m} \\ 48\text{ = }(16)/(100)\text{ }*\text{ m} \\ 48\text{ = }(16m)/(100) \\ \text{Cross multiply} \\ 16m\text{ = 48 }*\text{ 100} \\ 16m\text{ = 4800} \\ \text{m = }(4800)/(16) \\ \text{m = 300} \end{gathered}`

Hence, there are 300 students.

a)

`\begin{gathered} \text{Number of students that had 1 book = 24\% of 300} \\ =\text{ }(24)/(100)\text{ }*\text{ 300} \\ =\text{ }(7200)/(100) \\ =\text{ 72 students} \end{gathered}`

72 students had 1 book.

b) What percentage more read 2 books than 4 books?

percentage that read 2 books = 36%

percentage that read 4 books = 16%

36 - 16 = 20%

There are 20% students that read 2 books than 4 books.