Answered

Jenny filled 12 pitchers with equal amount of lemonade in each. The total amount of lemonade in the 12 pitchers was 41.4 liters. How many liters of lemonade would be in 7 pitchers



Answer :

InesWalston

Answer:

24.15 liters of lemonade would be in 7 pitchers.

Step-by-step explanation:

The total amount of lemonade was 41.4 liters.

Jenny filled 12 pitchers with equal amount of lemonade in each.

So dividing total amount of lemonade by number of pitchers will yield amount of lemonade in each pitcher.

Hence,

[tex]\text{Amount of lemonade in each pitcher}=\dfrac{\text{Total lemonade}}{\text{Number of pitchers}}[/tex]

[tex]=\dfrac{41.4}{12}[/tex]

[tex]=3.45\ lit[/tex]

Then the amount of lemonade in 7 pitchers will be,

[tex]=3.45\times 7=24.15\ lit[/tex]

ardni313

24.15 liters of lemonade would be in 7 pitchers

Further explanation

Comparison is an effort to compare two or more objects in terms of shape or size, or number

Proportional Comparisons / Directly proportional are comparisons of two or more numbers where one number increases, the other numbers also increase at the same rate

  Can be formulated

[tex]\displaystyle \frac {x1} {y1} = \frac {x2} {y2}[/tex]

 so that if:

 x = 2

 then

[tex]\displaystyle y ={ \frac {y} {x} \times \: 2}[/tex]

 While the reversal value comparison / inversely proportional is the comparison of two or more numbers where one number increases, the other number decreases in value

or when one value decreases at the same rate that the other increases

 Can be formulated

[tex]\displaystyle \frac {x1} {y2} = \frac {x2} {y1}[/tex]

so that if:

 x = 2

 then

[tex]\displaystyle y = \frac {x} {y} \times \: 2[/tex]

Known

Jenny filled 12 pitchers with 41.4 liters of lemonade

Asked

lemonade in 7 pitchers

Answer

Because this includes Proportional Comparisons / Directly proportional, the equation becomes:

[tex]\displaystyle \frac{7~pitchers}{12~pitchers}=\frac{x}{41.4~liters}[/tex]

[tex]\displaystyle x=\frac{7\times41.4}{12}[/tex]

[tex]\large{\boxed{\bold{24.15~liters}}}[/tex]

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Keywords: pitchers, lemonade, liters, Proportional Comparisons / Directly proportional

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