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12 May 2025, 05:06
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Which section in the mall has the highest total number of items?: Yes
What is the percentage of items in the Kids section in the price range $6 to $20?: Yes
Which section has the highest number of items costing more than $100?: Yes
A mall has five sections, as shown in the table. The table displays the distribution of item prices in each section across various price ranges. Each item in the mall costs a whole number of dollars, with a minimum price of $1. In each section, the number of items in each price range is shown either as a percentage of that section’s total (with a % symbol) or as an actual count (without a % symbol and in bold).
In the Kids section, the exact number of items priced above $30 is not known. However, the total number of items in the Kids section is known to be half of the total number of items in the Dress section.
Select Yes if the question can be answered from given info. Otherwise, select No.
In the Kids section, the exact number of items priced above $30 is not known. However, the total number of items in the Kids section is known to be half of the total number of items in the Dress section.
| Section | $1 to $5 | $6 to $20 | $21 to $30 | $31 to $100 | More than $100 |
|---|---|---|---|---|---|
| Dress | 25% | 27% | 56 | 15% | 5% |
| Cosmetics | 48% | 26% | 15% | 10% | 50 |
| Electronics | 5% | 16% | 27% | 7 | 45% |
| Food | 120 | 10% | 10% | 0% | 0% |
| Kids | 20% | 24 | 15% | Not Known | Not Known |
Select Yes if the question can be answered from given info. Otherwise, select No.
| Yes | No | |
| Which section in the mall has the highest total number of items? | ||
| What is the percentage of items in the Kids section in the price range $6 to $20? | ||
| Which section has the highest number of items costing more than $100? |
ShowHide Answer
Official Answer
Which section in the mall has the highest total number of items?: Yes
What is the percentage of items in the Kids section in the price range $6 to $20?: Yes
Which section has the highest number of items costing more than $100?: Yes
12 May 2025, 05:06
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Bookmarks
Official Solution:
Let's analyze the table to determine the total number of items in each section:
Dress: 56 items in the $21 to $30 price range account for 100% - (25% + 27% + 15% + 5%) = 28% of the section. So, total items = 56 / 0.28 = 200.
Cosmetics: 50 items in the "More than $100" range account for 100% - (48% + 26% + 15% + 10%) = 1% of the section. So, total items = 50 / 0.01 = 5000.
Electronics: 7 items in the $31 to $100 range account for 100% - (5% + 16% + 27% + 45%) = 7% of the section. So, total items = 7 / 0.07 = 100.
Food: 120 items in the $1 to $5 range represent 80% of the section (since 10% + 10% = 20% for the remaining ranges). So, total items = 120 / 0.8 = 150.
Kids: It is given that the Kids section contains half as many items as the Dress section. Since Dress has 200 items, the total in Kids = 100.
Based on these calculations, the updated table with actual item counts is shown below:
Now, let's assess whether each of the questions can be answered:
Which section in the mall has the highest total number of items?
• From the computed totals, Cosmetics, with 5000 items, has the highest number among all sections. So, this question can be answered.
What is the percentage of items in the Kids section in the price range $6 to $20?
• The total number of items in the Kids section is 100. The number of items in the $6 to $20 range is 24. Therefore, the percentage is 24%. So, this question can be answered.
Which section has the highest number of items costing more than $100?
• Kids section has 100 - (20 + 24 + 15) = 41 items above $30. Even if all are over $100, that’s still fewer than the 50 in Cosmetics. Thus, Cosmetics has the highest count. So, this question can be answered.
Correct answer:
Which section in the mall has the highest total number of items? "Yes"
What is the percentage of items in the Kids section in the price range $6 to $20? "Yes"
Which section has the highest number of items costing more than $100? "Yes"
Bunuel
Let's analyze the table to determine the total number of items in each section:
Dress: 56 items in the $21 to $30 price range account for 100% - (25% + 27% + 15% + 5%) = 28% of the section. So, total items = 56 / 0.28 = 200.
Cosmetics: 50 items in the "More than $100" range account for 100% - (48% + 26% + 15% + 10%) = 1% of the section. So, total items = 50 / 0.01 = 5000.
Electronics: 7 items in the $31 to $100 range account for 100% - (5% + 16% + 27% + 45%) = 7% of the section. So, total items = 7 / 0.07 = 100.
Food: 120 items in the $1 to $5 range represent 80% of the section (since 10% + 10% = 20% for the remaining ranges). So, total items = 120 / 0.8 = 150.
Kids: It is given that the Kids section contains half as many items as the Dress section. Since Dress has 200 items, the total in Kids = 100.
Based on these calculations, the updated table with actual item counts is shown below:
| Section | $1 to $5 | $6 to $20 | $21 to $30 | $31 to $100 | More than $100 |
|---|---|---|---|---|---|
| Dress | 50 | 54 | 56 | 30 | 10 |
| Cosmetics | 2400 | 1300 | 750 | 500 | 50 |
| Electronics | 5 | 16 | 27 | 7 | 45 |
| Food | 120 | 15 | 15 | 0 | 0 |
| Kids | 20 | 24 | 15 | Not Known | Not Known |
Now, let's assess whether each of the questions can be answered:
Which section in the mall has the highest total number of items?
• From the computed totals, Cosmetics, with 5000 items, has the highest number among all sections. So, this question can be answered.
What is the percentage of items in the Kids section in the price range $6 to $20?
• The total number of items in the Kids section is 100. The number of items in the $6 to $20 range is 24. Therefore, the percentage is 24%. So, this question can be answered.
Which section has the highest number of items costing more than $100?
• Kids section has 100 - (20 + 24 + 15) = 41 items above $30. Even if all are over $100, that’s still fewer than the 50 in Cosmetics. Thus, Cosmetics has the highest count. So, this question can be answered.
Correct answer:
Which section in the mall has the highest total number of items? "Yes"
What is the percentage of items in the Kids section in the price range $6 to $20? "Yes"
Which section has the highest number of items costing more than $100? "Yes"
