Question
A kitchen is going to have a center island that can be at most 8 feet wide. The island will have a 1.5 foot section for garland then cabinets that are 2 feet wide. How many can-can the center island have
Answers
GPT-4o mini
To determine how many cabinets can fit in the center island, we'll start by calculating the total width available for the cabinets after accounting for the space taken up by the garland.
1. **Total width of the island:** 8 feet
2. **Width for garland:** 1.5 feet
Now, subtract the width of the garland from the total width of the island:
\[
\text{Width available for cabinets} = \text{Total width} - \text{Width for garland}
\]
\[
\text{Width available for cabinets} = 8 \text{ feet} - 1.5 \text{ feet} = 6.5 \text{ feet}
\]
Next, we need to determine how many 2-foot wide cabinets can fit within the 6.5 feet of available width.
To find this, we divide the available width by the width of each cabinet:
\[
\text{Number of cabinets} = \frac{\text{Width available for cabinets}}{\text{Width of each cabinet}} = \frac{6.5 \text{ feet}}{2 \text{ feet}}
\]
Calculating that gives:
\[
\text{Number of cabinets} = \frac{6.5}{2} = 3.25
\]
Since we can't have a fraction of a cabinet, we'll round down to the nearest whole number:
\[
\text{Number of cabinets} = 3
\]
Thus, the center island can have **3 cabinets**.
1. **Total width of the island:** 8 feet
2. **Width for garland:** 1.5 feet
Now, subtract the width of the garland from the total width of the island:
\[
\text{Width available for cabinets} = \text{Total width} - \text{Width for garland}
\]
\[
\text{Width available for cabinets} = 8 \text{ feet} - 1.5 \text{ feet} = 6.5 \text{ feet}
\]
Next, we need to determine how many 2-foot wide cabinets can fit within the 6.5 feet of available width.
To find this, we divide the available width by the width of each cabinet:
\[
\text{Number of cabinets} = \frac{\text{Width available for cabinets}}{\text{Width of each cabinet}} = \frac{6.5 \text{ feet}}{2 \text{ feet}}
\]
Calculating that gives:
\[
\text{Number of cabinets} = \frac{6.5}{2} = 3.25
\]
Since we can't have a fraction of a cabinet, we'll round down to the nearest whole number:
\[
\text{Number of cabinets} = 3
\]
Thus, the center island can have **3 cabinets**.