Here are three different recipes for Orangey-Pineapple Juice. Two of these mixtures taste the same and one tastes different. Recipe 1:

Question

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.

plz help i have to do like 10 more of these

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Dâu 3 years 2021-08-01T06:34:38+00:00 1 Answers 274 views 0

Answers ( )

  1. diemthu
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    2021-08-01T06:35:53+00:00
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    Answer: Recipe 1 and 2 will taste the same because the ratio of the ingredients is the same, while recipe 3 will taste different because the ratio of ingredients used were different.

    Explanation:

    In this case, the factor that determines whether the mixtures taste the same or different is the ration of ingredients; this is the amount of orange juice added vs the amount of pineapple juice. Here are the ratios for the three recipes:

    Recipe 1: 4 to 6 (orange juice to pineapple)

    Recipe 2: 6 to 9 (orange juice to pineapple)

    Recipe 3: 9 to 12 (orange juice to pineapple)

    Now, to compare the ratios these can be written as fractions and then simplified by dividing the numerator into the denominator or reducing the fraction.

    Recipe 1:

    \frac{4}{6} = 0.666      or    \frac{4}{6} = \frac{2}{3} (divide both numbers by 2)

    Recipe 2:

    \frac{6}{9} = 0.666       or   \frac{6}{9} = \frac{2}{3} (divide both numbers by 3)

    Recipe 3:

    \frac{9}{12}[tex]= 0.75[/tex]         or   \frac{9}{12} = \frac{3}{4}  (divide both numbers by 3)

    This shows recipes 1 and 2 use the same ratio of orange vs pineapple juice (2 to 3), which means the same taste, while the ration in the recipe 3 is different.

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