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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.

Respuesta :

pisabubbles
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.

The recipes that would taste the same are recipe 1 and 2. Recipe 3 would taste different.

In order to determine which recipes would taste the same and which recipe would taste different, we have to determine the ratio of orange juice to pineapple juice in each recipe

Ratio shows the quantifies between two numbers. It shows the proportion of one value in another value

Recipe 1: ratio of orange juice to pineapple juice = 4 : 6

Simplify by dividing by 2

2 : 3

Recipe 2: ratio of orange juice to pineapple juice = 6 : 9

Simplify by dividing by 3

2: 3

Recipe 3: ratio of orange juice to pineapple juice = 9 : 12

Simplify by dividing by 3

3 : 4

Recipes 1 and 2 have the same ratio of orange juice to pineapple juice while recipe 3 has a different ratio

A similar question was solved here: brainly.com/question/9017902?referrer=searchResults