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5. Ms. Hager's math class kept a record of the fruit sold in the school cafeteria over the course of a week. The results are shown in the table.

\begin{tabular}{|c|c|}
\hline
Fruit & Number sold \\
\hline
Apples & 150 \\
\hline
Bananas & 100 \\
\hline
Oranges & 200 \\
\hline
Peaches & 25 \\
\hline
Other & 25 \\
\hline
\end{tabular}

A. Write the ratio of oranges sold to total pieces of fruit sold.

B. The class wants to make a circle graph of the data. What angle measure should they use to represent the oranges section?



Answer :

GinnyAnswer
Let's break this problem down into two parts as asked:

Part A: Ratio of oranges sold to total pieces of fruit sold

1. Find the total number of pieces of fruit sold:
- Apples: 150
- Bananas: 100
- Oranges: 200
- Peaches: 25
- Other: 25

To get the total, sum these values:
[tex]\[ \text{Total pieces of fruit} = 150 + 100 + 200 + 25 + 25 = 500 \][/tex]

2. Determine the ratio of oranges sold to the total number of pieces of fruit sold:
- Number of oranges sold: 200
- Total pieces of fruit sold: 500

The ratio can be expressed as:
[tex]\[ \text{Ratio} = \frac{\text{Number of oranges sold}}{\text{Total pieces of fruit sold}} = \frac{200}{500} = 0.4 \][/tex]

Thus, the ratio of oranges sold to the total pieces of fruit sold is [tex]\(\frac{200}{500}\)[/tex], which simplifies to [tex]\(0.4\)[/tex].

Part B: Angle measure for the oranges section in a circle graph

1. Understand that a circle graph (or pie chart) represents data such that the entire circle is 360 degrees. We need to find the angle corresponding to the oranges section.

2. Calculate the proportion of the oranges sold out of the total pieces of fruit:
- Number of oranges sold: 200
- Total pieces of fruit sold: 500

The proportion is [tex]\( \frac{200}{500} = 0.4 \)[/tex].

3. Determine the angle for the oranges section:
- Since a full circle is 360 degrees, the angle for the oranges section is obtained by multiplying the proportion by 360 degrees:
[tex]\[ \text{Angle} = 0.4 \times 360 = 144 \text{ degrees} \][/tex]

So, for the circle graph, the angle measure that should be used to represent the oranges section is [tex]\(144\)[/tex] degrees.

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