One of These Things Is Not Like the Others

1.4: Orangey-Pineapple Juice

Here are three different recipes for Orangey-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. (Draw a table and explain your thinking).