Math

QuestionA waitress pours 34\frac{3}{4} gallon of juice into 5 pitchers. What fraction is in each pitcher? Show with a rectangle and equation.

Studdy Solution

STEP 1

Assumptions1. The total amount of juice is 34\frac{3}{4} gallon. . The juice is poured equally into5 pitchers.
3. The rectangle represents1 gallon of juice.
4. We need to find the fraction of a gallon of juice in each pitcher.

STEP 2

First, we need to find out how much juice is in each pitcher. We can do this by dividing the total amount of juice by the number of pitchers.
Juiceineachpitcher=Totalamountofjuice/NumberofpitchersJuice\, in\, each\, pitcher = Total\, amount\, of\, juice / Number\, of\, pitchers

STEP 3

Now, plug in the given values for the total amount of juice and the number of pitchers to calculate the amount of juice in each pitcher.
Juiceineachpitcher=3/5Juice\, in\, each\, pitcher = \frac{3}{} /5

STEP 4

Calculate the amount of juice in each pitcher.
Juiceineachpitcher=34/=320Juice\, in\, each\, pitcher = \frac{3}{4} / = \frac{3}{20}Each pitcher contains 320\frac{3}{20} gallon of juice.

STEP 5

Now, let's represent the problem using a rectangle. The rectangle represents1 gallon. Draw lines to represent 34\frac{3}{4} gallon first. Then divide that into5 equal parts.
The equation to show the solution is34/5=320\frac{3}{4} /5 = \frac{3}{20}The two ways in which you need to show the answer to the problem are1. By calculating the amount of juice in each pitcher, which is 320\frac{3}{20} gallon.
2. By representing the problem using a rectangle and writing an equation to show the solution.

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