Question
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1. In order to make Energade from a concentrate, it must be mixed wit water in a certain ratio. For every one litre of Energade concentrate, three litres of water is required. If I have to make fifty six litres of Energade for the derby day against the visiting team, how many lires concentrate do I need?

Ask by Warner Harrington. in South Africa
Mar 09,2025

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Tutor-Verified Answer

Answer

You need 14 litres of concentrate to make 56 litres of Energade.

Solution

1. The ratio of concentrate to water is \( 1:3 \). 2. This means that for every litre of concentrate, the total volume of the drink is \[ 1 \text{ litre concentrate} + 3 \text{ litres water} = 4 \text{ litres total} \] 3. Let \( x \) be the number of litres of concentrate needed. Then the total volume produced using \( x \) litres of concentrate is \[ 4x \text{ litres} \] 4. We need to make \( 56 \) litres of Energade, so we set up the equation: \[ 4x = 56 \] 5. Solve for \( x \): \[ x = \frac{56}{4} = 14 \] 6. Therefore, you need \( 14 \) litres of concentrate.

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The Deep Dive

To make 56 litres of Energade, you'll want to consider that for every 1 litre of concentrate, you add 3 litres of water. This means that the total mixture consists of 4 parts (1 part concentrate and 3 parts water). To find out how much concentrate you need, divide the total desired amount by 4. So, 56 litres ÷ 4 = 14 litres of concentrate. Now you’re set to keep your team hydrated and ready to crush the visiting team in the derby day showdown! Just remember to mix it well, and you’ll keep everyone energized for a winning performance!

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