(iii) A container of polish contains 5 litres and costs $$ A \$ 10 $$. Find the number of containers of polish that must be purchased in order to polish the entire sculpture, and hence find the cost of the polish in euro (A\$1 $$ £ 0.68 $$ ). Give your answer correct to the nearest euro.

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UpStudy AI · Accepted Answer

We suppose that a previous part of the question has determined that the sculpture requires a total of
$$
V = 13.5\text{ litres}
$$
of polish. (If a different total polish volume is required then the same method applies.)

1. Since each container holds $$5$$ litres, the number of containers needed is
   $$
   \frac{13.5}{5} = 2.7.
   $$
   Because we can only buy whole containers we must round this up to obtain
   $$
   3\text{ containers}.
   $$

2. The cost of one container is $$A\$10$$, so the total cost in Australian dollars is
   $$
   3 \times 10 = A\$30.
   $$

3. To convert the cost into euros we use the exchange rate
   $$
   A\$1 = \,£0.68.
   $$
   Thus, the cost in euros is
   $$
   30 \times 0.68 = 20.4.
   $$
   Rounding to the nearest euro gives $$20$$ euros.

Therefore, $$3$$ containers must be purchased and the cost of the polish is approximately $$20$$ euros.
To polish the entire sculpture, you need to buy 3 containers of polish, which will cost approximately 20 euros.

(iii) A container of polish contains 5 litres and costs \( A \$ 10 \). Find the number of containers of polish that must be purchased in order to polish the entire sculpture, and hence find the cost of the polish in euro (A\$1 \( £ 0.68 \) ). Give your answer correct to the nearest euro.

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