How many ice cream cones can be filled from 10.5 liters of ice cream if one cone can be filled with 35 ml of ice cream? What will be the cost of one showpiece if the cost of a dozen showpieces is ₹ 230?
Answer (2)
Convert the volume of ice cream to millilitres: 10.5 litres = 10500 ml .
Calculate the number of cones that can be filled: 35 10500 = 300 .
Calculate the cost of one showpiece: 12 ₹230 = ₹19.17 .
The number of ice cream cones that can be filled is 300 and the cost of one showpiece is ₹ 19.17 .
Explanation
Problem Analysis We are given two separate questions: first, to find out how many ice cream cones can be filled from 10.5 litres of ice cream if each cone requires 35 ml, and second, to find the cost of one showpiece if a dozen costs ₹ 230. We will solve each question separately.
Calculating Number of Ice Cream Cones First, let's find out how many ice cream cones can be filled. We need to convert the volume of ice cream from litres to millilitres. We know that 1 litre = 1000 ml. Therefore, 10.5 litres is equal to: 10.5 litres = 10.5 × 1000 ml = 10500 ml Now, we divide the total volume of ice cream in ml by the volume required for one cone: Number of cones = 35 ml/cone 10500 ml = 300 cones So, 300 ice cream cones can be filled.
Calculating Cost of One Showpiece Next, let's find the cost of one showpiece. We are given that a dozen (12) showpieces cost ₹ 230. To find the cost of one showpiece, we divide the total cost by the number of showpieces: Cost of one showpiece = 12 ₹230 = ₹19.1666... Rounding to two decimal places, the cost of one showpiece is approximately ₹ 19.17.
Final Answer Therefore, 300 ice cream cones can be filled from 10.5 litres of ice cream, and the cost of one showpiece is approximately ₹ 19.17.
Examples
Imagine you're planning a birthday party. You have a large container of juice and need to figure out how many cups you can fill. This problem is similar to calculating how many ice cream cones you can fill from a given amount of ice cream. Also, if you're buying party favors in bulk, you might need to calculate the cost of each individual item, just like finding the cost of one showpiece from a dozen.
From 10.5 liters of ice cream, you can fill 300 ice cream cones. The cost of one showpiece is approximately ₹ 19.17.
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