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6 September, 20:11

Here are three different recipes for Orangy-Pineapple juice. Two of these mixtures taste the same and one tastes different.

Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.

Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice

Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice

Which two recipes will taste the same, and which one will taste different? explain or show your reasoning.

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  1. 6 September, 20:22
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    Recipes 1 and 2 would taste the same but Recipe 3 would taste different. This is because both Recipe 1 and 2 use a 2:3 ratio, while Recipe 3 uses a 3:4 ratio.

    The ratio for Recipe 1 is 4:6 and for Recipe 2 is 6:9, which when simplified is 2:3.

    Meanwhile the ratio for Recipe 3 is 9:12, which simplified is 3:4.
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