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Preparation fime: 15 min Baking time: 20 min 2.1 Use the ingredients for frosting and write the ratio of cups of icing sugar to teasp of vanilla essence, in its simplest form. 2.2 If she starts preparing at \( 10: 42 \), determine the time at which the cupcakes will b finished baking. 2.3 Determine the amount of milk needed in ml. ( 1 cup \( =250 \) ml) If 1 millilitre of sugar weighs \( 1,59 \mathrm{~g} \), determine how many kilograms of suga needed. Give the answer correct to 3 decimal places.

Ask by Lane West. in South Africa
Mar 11,2025

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2.1 The ratio of cups of icing sugar to teaspoons of vanilla essence is \( \frac{x}{y} \). 2.2 The cupcakes will be finished baking at 11:17. 2.3 The amount of milk needed is \( 250z \) ml, and the amount of sugar needed is \( \frac{w}{1000} \) kg.

Solución

Given: Preparation time: 15 minutes Baking time: 20 minutes 2.1 To find the ratio of cups of icing sugar to teaspoons of vanilla essence, we need the quantities of icing sugar and vanilla essence used in the frosting. Let's assume the quantity of icing sugar used is \( x \) cups and the quantity of vanilla essence used is \( y \) teaspoons. The ratio of icing sugar to vanilla essence is \( \frac{x}{y} \). 2.2 To determine the time at which the cupcakes will be finished baking, we need to add the preparation time and the baking time to the starting time. Starting time: 10:42 Preparation time: 15 minutes Baking time: 20 minutes Total time = 15 minutes + 20 minutes = 35 minutes Adding 35 minutes to 10:42, we get: 10:42 + 35 minutes = 11:17 Therefore, the cupcakes will be finished baking at 11:17. 2.3 To determine the amount of milk needed in ml, we need to convert the quantity of milk from cups to milliliters. 1 cup = 250 ml Let's assume the quantity of milk needed is \( z \) cups. The amount of milk needed in ml is \( 250z \) ml. To determine the amount of sugar needed in kilograms, we need to convert the quantity of sugar from grams to kilograms. 1 milliliter of sugar weighs 1.59 g. Let's assume the quantity of sugar needed is \( w \) grams. The amount of sugar needed in kilograms is \( \frac{w}{1000} \) kg. Now, we can calculate the amount of milk needed in ml and the amount of sugar needed in kilograms.

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Bonus Knowledge

To determine the ratio of cups of icing sugar to teaspoons of vanilla essence, if we assume there are typically about 2 cups of icing sugar and 2 teaspoons of vanilla essence in a standard frosting recipe, the ratio would be simplified to 2:2, which is 1:1. This means for every cup of icing sugar, you’d use one teaspoon of vanilla essence. Sweet and simple! If she starts preparing at \(10:42\) and takes \(15\) minutes to prepare and then \(20\) minutes to bake, the cupcakes will finish baking at \(10:42 + 15 + 20\) minutes, which is \(11:17\). So, mark your timer! Time flies when you're baking up a storm. To determine the amount of milk needed, if the recipe calls for \(1\) cup of milk, it translates to \(250\) ml. If \(1\) ml of sugar weighs \(1.59\) g, you'd first convert the weight of sugar needed from cups to grams. Assuming the same recipe uses about \(1\) cup of sugar, that would be \(250\) g of sugar. Which converts to kilograms as follows: \(250\) g \(= 0.250\) kg. So, the final answer is \(0.250\) kg, all while sweetly keeping it precise!

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