Math Problem Statement

2500 students from a certain school were asked about their favourite juice .Read the pie chart and answer the given questions. b) Which juice is the favorite of the least number of students ? How many students like it?

Solution

To answer the question, I'll first read and interpret the pie chart.

The pie chart represents the favorite juices among 2500 students, with the following dataTo answer the question, I'll first read and interpret the pie chart.

The pie chart represents the favorite juices among 2500 students, with the following

  • Mango: 108°
  • Pineapple: 61.2°
  • Apple: 36°
  • Litchi: 56.4°
  • Orange: 86.4°

b) Which juice is the favorite of the least number of students? How many students like it?

To determine which juice is the favorite of the least number of students, we'll compare the angles and then calculate the number of students for that juice.

Apple has the smallest angle of 36°.

Now, let's calculate the number of students who like Apple:

  • The total angle in a pie chart is 360°.
  • The total number of students is 2500.

So, the number of students who like Apple can be calculated as:

Number of students=(Angle for Apple360)×2500\text{Number of students} = \left(\frac{\text{Angle for Apple}}{360^\circ}\right) \times 2500

Number of students=(36360)×2500=110×2500=250 students\text{Number of students} = \left(\frac{36^\circ}{360^\circ}\right) \times 2500 = \frac{1}{10} \times 2500 = 250 \text{ students}

Answer:

  • The juice that is the favorite of the least number of students is Apple.
  • 250 students like Apple.

Would you like more details or have any questions?

Here are some related questions you might find useful:

  1. How many students like Mango juice?
  2. What is the percentage of students who prefer Pineapple juice?
  3. Which juice is the most popular, and how many students like it?
  4. How would the pie chart change if 500 more students liked Litchi juice?
  5. If another juice is added to the list, how would that affect the pie chart?

Tip: When analyzing pie charts, remember that the size of each slice is proportional to the quantity it represents, so even a small difference in angle can represent a significant difference in numbers when dealing with large populations.

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Math Problem Analysis

Mathematical Concepts

Pie Charts
Angles in a Circle
Proportional Representation

Formulas

Angle calculation in a pie chart: Angle = (Number of students liking juice / Total students) * 360 degrees

Theorems

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Suitable Grade Level

Grades 6-8