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.

Question

Mathematics

Aliza Fletcher

22 April, 13:05

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.

+1

Answers (1)

Know the Answer?

Tyrone Bauer · Answer 1

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.