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Displaying Data, SM-Bank 026

Tom collected data on the number of big game animals in an African wildlife park.

This graph shows how many big game animals lived in the park.

 

 

There were 16 more elephants than rhinos in the wildlife park.

  1. What fraction of the animals were elephants?  (1 mark)
  2. What fraction of the animals were rhinos?  (1 mark)
  3. How many big game animals were in the park in total?  (2 marks)

Show Answers Only

a.    \(\dfrac{7}{20}\)

b.    \(\dfrac{3}{20}\)

c.    \(80\)

Show Worked Solution

a.    \(\text{There are 20 divisions on the sector graph}\)

\(\text{Elephants}=\dfrac{7}{20}\)

b.    \(\text{Rhinos}=\dfrac{3}{20}\)

c.    \(\text{Let}\ \ n =\ \text{total big games animals in the park}\)

\(\text{Elephants – Rhinos}\) \(=16\)
\(\dfrac{7}{20} n-\dfrac{3}{20}n\) \(=16\)
\(\dfrac{4}{20}n\) \(=16\)
\(n\) \(=\dfrac{16\times 20}{4}\)
  \(= 80\)

 
\(\therefore\ \text{There are 80 big game animals in the park}\)