Certainly! Let's break down the problem step-by-step to find the total cost of purchasing [tex]\( \frac{72}{5} \)[/tex] litres of milk when the price per litre is given by [tex]\( 17^{3/4} \)[/tex] rupees.
1. Calculate the cost per litre:
- We are given that the cost per litre of milk is [tex]\( 17^{3/4} \)[/tex] rupees.
- After evaluating this expression, we get the cost per litre as approximately [tex]\( 8.372 \)[/tex] rupees.
2. Calculate the quantity of milk:
- The quantity of milk required is [tex]\( \frac{72}{5} \)[/tex] litres.
- Simplifying [tex]\( \frac{72}{5} \)[/tex], we get [tex]\( 14.4 \)[/tex] litres.
3. Calculate the total cost:
- To find the total cost, multiply the cost per litre by the quantity of milk.
- Therefore, the total cost is [tex]\( 8.372 \)[/tex] rupees per litre [tex]\(\times\)[/tex] [tex]\( 14.4 \)[/tex] litres.
This results in a total cost of approximately [tex]\( 120.559 \)[/tex] rupees.
So, the cost of [tex]\( \frac{72}{5} \)[/tex] litres of milk, when priced at [tex]\( 17^{3/4} \)[/tex] rupees per litre, is approximately [tex]\( 120.559 \)[/tex] rupees.
