1. The problem states that Miss Liza needs 20g of sugar and 20g of butter to bake one cake.
2. We are given 1.2kg of sugar. First, convert 1.2kg to grams: $$1.2 \text{ kg} = 1.2 \times 1000 = 1200 \text{ g}$$
3. To find how many cakes can be made with 1200g of sugar, divide the total sugar by the sugar needed per cake: $$\frac{1200}{20} = 60 \text{ cakes}$$
4. Since each cake requires 20g of butter, the total butter needed for 60 cakes is: $$60 \times 20 = 1200 \text{ g}$$
5. Convert the butter mass back to kilograms: $$\frac{1200}{1000} = 1.2 \text{ kg}$$
Final answer: Miss Liza can make 60 cakes with 1.2kg of sugar, and she will need 1.2kg of butter.
Cake Ingredients
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