Math Problem Statement

Solve

In a survey, 7 people said that their favourite card game was Snap. How many people answered the survey in total?

Solution

To solve this problem, we need to find the total number of people who answered the survey. Let's analyze the information given:

  1. Information from the image:

    • The pie chart shows different card games and their respective angles:

      • Snap: 140°
      • Whist: 20°
      • Bridge: 120°
      • Rummy: 80°
    • The total angle of a circle is 360°.

  2. Calculation of the proportion for "Snap":

    • We know that 7 people chose "Snap," which corresponds to 140° of the pie chart.
    • To find the total number of people surveyed, we calculate the number of people that correspond to 360°.
  3. Setting up the proportion:

140°360°=7 peoplex total people\frac{140°}{360°} = \frac{7 \text{ people}}{x \text{ total people}}

where xx is the total number of people who answered the survey.

  1. Solving for xx:

x=7×360140x = \frac{7 \times 360}{140}

Now, let's calculate this value.The total number of people who answered the survey is 18.

Would you like more details or have any further questions?

Related Questions:

  1. What fraction of the total people preferred each card game?
  2. How many people chose "Whist" as their favorite card game?
  3. How many people chose "Bridge" as their favorite card game?
  4. How many people chose "Rummy" as their favorite card game?
  5. What percentage of people chose "Snap" as their favorite game?

Tip: Always check if the sum of proportions or angles matches the total when dealing with surveys and pie charts.

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Math Problem Analysis

Mathematical Concepts

Proportions
Pie Charts
Angles

Formulas

Proportion formula: (Part / Total Angle) = (People / Total People)
Total Angle of Circle = 360°

Theorems

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Suitable Grade Level

Grades 6-8