SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Rates, SM-Bank 059

An avocado farmer sells her avocados in four different sizes.

Size 1 kg 2 kg 3 kg 4 kg
Price $6.35 $13.00 $19.00 $25.10

What is the lowest price a customer can pay for 8 kg of avocados?  (2 marks)

Show Answers Only

\($50.20\)

Show Worked Solution

\(\text{Calculate the cost per kg for each size:}\)

\(1\text{kg}\) \(=$6.35\text{/kg}\)
\(2\text{kg}\) \(=\dfrac{13}{2} = $6.50\text{/kg}\)
\(3\text{kg}\) \(=\dfrac{19}{3} = $6.33\text{/kg}\)
\(4\text{kg}\) \(=\dfrac{25.10}{4} \approx $6.28\text{/kg}\)

 

\(\therefore\ 4\text{kg packet is the cheapest.}\)
 

\(\therefore \text{Cheapest price to buy 8 kg}\)

\(=2\times 25.10\)

\(=$50.20\)