Math Problem Statement

The cafeteria manager recorded the number of students who used ketchup or mustard in the hot dog line and classified them as A lunch or B lunch students. The results are shown in the table.

Hot Dog Condiments

Ketchup Mustard A Lunch 25 13 B Lunch 23 19

What percentage of the students recorded used mustard in the hot dog line?

Solution

To determine the percentage of students who used mustard in the hot dog line, we need to first find the total number of students recorded and then calculate what portion of them used mustard.

Step 1: Calculate the total number of students

The total number of students is the sum of all those in the table:

  • A Lunch students who used ketchup: 25
  • A Lunch students who used mustard: 13
  • B Lunch students who used ketchup: 23
  • B Lunch students who used mustard: 19

Total number of students:

25+13+23+19=80 students25 + 13 + 23 + 19 = 80 \text{ students}

Step 2: Calculate the number of students who used mustard

The total number of students who used mustard is the sum of those in A Lunch and B Lunch:

13+19=32 students used mustard13 + 19 = 32 \text{ students used mustard}

Step 3: Calculate the percentage of students who used mustard

To find the percentage of students who used mustard, we divide the number of mustard users by the total number of students and then multiply by 100:

3280×100=40%\frac{32}{80} \times 100 = 40\%

Thus, 40% of the students recorded used mustard in the hot dog line.

Would you like more details on any step or have any other questions?

5 Related Questions:

  1. What percentage of students used ketchup in the hot dog line?
  2. How many students used both ketchup and mustard if any were recorded?
  3. What is the ratio of students using mustard in A Lunch to those in B Lunch?
  4. If 10 more students from A Lunch used mustard, how would the percentage change?
  5. How can we visualize this data using a pie chart or bar graph?

Tip:

When calculating percentages, always ensure that you have the correct total to avoid mistakes in your calculation.

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Math Problem Analysis

Mathematical Concepts

Percentages
Basic Arithmetic

Formulas

Percentage formula: (part/whole) * 100

Theorems

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Suitable Grade Level

Grades 4-6