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Olivia has a dozen apples of the same size
and a dozen pineapples of the same size.
Olivia uses her juicer to extract 12 ounces of
pineapple juice from 7 pineapples and 16
ounces of apple juice from 4 apples. She
makes a pineapple-apple juice blend from an
equal number of pineapples and apples.
What percent of the blend is pineapple juice?

Respuesta :

pandaen932

Answer: 30% of the blend is pineapple juice

Step-by-step explanation:

Since 7 pineapples yield 12 oz of juice, 1 pineapple yields 1 5/7 oz of juice.

Since 4 apples yield 16 oz of juice, 1 apple yields 4 oz of juice.

She’s making a pineapple-apple juice where the ratio of apples and pineapples used is 1:1. To find what percent of the blend is pineapple juice:

1 apple to 1 pineapple. The combined amount of juice they produce is 5 5/7 oz. The formula to find what percent of teh blend is pineapple juice is oz of pineapple juice divided by the combined amount of juice in the blend.

1 5/7 divided by 5 5/7 equals 3/10, or 30%.

The fraction of the blend that is pineapple and apple gives the

percentage that is pineapple.

Response:

  • The percentage of the blend that is pineapple juice is 30%

How can the percentage of pineapple juice in the blend be calculated?

Amount of juice extracted from 7 pineapples = 12 ounces

Amount of juice extracted from 4 apples = 16 ounces

Therefore;

  • The amount of juice from 1 pineapple = [tex]\mathbf{\frac{12}{7}}[/tex] ounces = [tex]1\frac{5}{7}[/tex] ounce

The amount of juice from 1 apple = [tex]\frac{16}{4}[/tex] ounces

  • The amount of juice from 1 apple = 4 ounces

Which gives;

The amount of juice from 1 pineapple and 1 apple =  [tex]\frac{12}{7}[/tex] + 4 = [tex]\frac{40}{7}[/tex] = [tex]5\frac{5}{7}[/tex]

  • The amount of juice from 1 pineapple and 1 apple =  [tex]5\frac{5}{7}[/tex] ounces

The percentage of pineapple juice is therefore;

  • [tex]Percentage \ pineapple \ juice \ in \ blend= \dfrac{\dfrac{12}{7} }{\dfrac{40}{7} } \times 100 = \dfrac{12}{7} \times \dfrac{7}{40} \times 100 = \underline{30\% }[/tex]

Learn more about percentages here:

https://brainly.com/question/26150306

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