2. For one cup of coffee Mr Zuma uses approximately 1 teaspoon of coffee, 2 teaspoons of sugar, 75 ml of milk and 150 ml of water. a) 1 teaspoon \( =5 \mathrm{ml} \). Write a ratio for the four ingredients. b) Use the ratio to calculate how much coffee, sugar, milk and water he needs to fill a 960 ml flask. (Show all of your calculationc.)
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To create a ratio for the ingredients based on Mr. Zuma's coffee recipe, we first convert everything to a comparable unit. - Coffee: 1 teaspoon = 5 ml - Sugar: 2 teaspoons = 10 ml - Milk: 75 ml - Water: 150 ml So, the ratio of coffee:sugar:milk:water becomes \( 5:10:75:150 \). We can simplify this ratio by dividing each part by 5, resulting in \( 1:2:15:30 \). Now, to fill a 960 ml flask, we need to find out the total parts of the ratio. Adding up all parts: \( 1 + 2 + 15 + 30 = 48 \) parts. Now, to find out the volume of one part, we divide the total desired volume by the number of parts: \( \frac{960 \, \text{ml}}{48} = 20 \, \text{ml} \, \text{per part} \). Now we multiply each part by 20 ml: - Coffee: \( 1 \times 20 = 20 \, \text{ml} \) - Sugar: \( 2 \times 20 = 40 \, \text{ml} \) - Milk: \( 15 \times 20 = 300 \, \text{ml} \) - Water: \( 30 \times 20 = 600 \, \text{ml} \) So, to fill a 960 ml flask, Mr. Zuma will need: - Coffee: 20 ml - Sugar: 40 ml - Milk: 300 ml - Water: 600 ml