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A survey is given to children and adults about their favorite meal of the day.
- Breakfast is preferred by one and a half times more children than adults.
- Children and adults both had 24 respondents for dinner.
- There were 62 adults who responded "lunch," twice as many as the number of children who responded "lunch."

The results are shown in the table.
\begin{tabular}{|l|l|l|l|l|}
\hline & \multicolumn{3}{|c|}{ Favorite Meal } & \\
\hline & Breakfast & Lunch & Dinner & \multicolumn{1}{c|}{ Total } \\
\hline Children & 30 & 31 & 24 & 85 \\
\hline Adults & 45 & 62 & 24 & 131 \\
\hline Total & 75 & 93 & 48 & 216 \\
\hline
\end{tabular}

Which category has an error in the table?

A. Breakfast
B. Lunch
C. Adults
D. Children

Sagot :

GinnyAnsweridn
To determine which category has an error in the table, we need to verify if the given conditions match the data presented. Let's go through each condition step-by-step:

### Condition 1: Breakfast Preference
- Given Condition: Breakfast is preferred by one and a half times more children than adults.
- Table Data:
- Children preferring breakfast: 30
- Adults preferring breakfast: 45

#### Calculation:
According to the condition, the number of children preferring breakfast should be 1.5 times the number of adults.

[tex]\[ \text{Expected children preferring breakfast} = 1.5 \times \text{Adults preferring breakfast} \][/tex]
[tex]\[ \text{Expected children preferring breakfast} = 1.5 \times 45 = 67.5 \][/tex]

However, according to the table:

[tex]\[ \text{Actual children preferring breakfast} = 30 \][/tex]

Since 30 does not equal 67.5, there is a discrepancy in the breakfast category.

### Condition 2: Dinner Preference
- Given Condition: Children and adults both had 24 respondents for dinner.
- Table Data:
- Children preferring dinner: 24
- Adults preferring dinner: 24

#### Verification:
Since both the given condition and the table data have 24 respondents for dinner by both children and adults, there is no error in the dinner category.

### Condition 3: Lunch Preference
- Given Condition: There were 62 adults who responded lunch, twice as great as the number of children who responded lunch.
- Table Data:
- Children preferring lunch: 31
- Adults preferring lunch: 62

#### Calculation:
According to the condition, the number of adults preferring lunch should be twice the number of children.

[tex]\[ \text{Expected children preferring lunch} = \frac{\text{Adults preferring lunch}}{2} \][/tex]
[tex]\[ \text{Expected children preferring lunch} = \frac{62}{2} = 31 \][/tex]

According to the table:

[tex]\[ \text{Actual children preferring lunch} = 31 \][/tex]

Since 31 matches 31, there is no error in the lunch category.

### Conclusion
There is a discrepancy between the given condition and the table data in the breakfast category. Thus, the category that has an error in the table is:

Breakfast
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