Answer:
recipe 1 and recipe 2 will taste the same because they have the same ratio while recipe 3 will taste differently because it has a different ratio.
Step-by-step explanation:
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.
Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.
Ratio of orange juice to pineapple juice = 4 : 6
= 4 / 6
= 2/3
= 2 : 3
Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice.
Ratio of orange juice to pineapple juice = 6 : 9
= 6 / 9
= 2 / 3
= 2 : 3
Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice
Ratio of orange juice to pineapple juice = 9 : 12
= 9 / 12
= 3 / 4
= 3 ; 4
Therefore, recipe 1 and recipe 2 will taste the same because they have the same ratio while recipe 3 will taste differently because it has a different ratio.