Becky wants to paint the walls in her bedroom. A gallon of paint will cover 300 ft. She measures the surface to be painted; it's 100,800 in². How many gallons of paint should she buy? She should buy whole gallon(s). X 5
Becky wants to paint the walls in her bedroom. A gallon of paint will cover 300 ft. She measures the surface to be painted; it's 100,800 in². How many gallons of paint should she buy? She should buy whole gallon(s). X 5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem: Calculating Paint Requirements**
Becky wants to paint the walls in her bedroom. A gallon of paint will cover 300 square feet. She measures the surface to be painted, and it's 100,800 square inches. How many gallons of paint should she buy?
**Solution:**
1. **Convert the Surface Area to Square Feet:**
- 1 square foot = 144 square inches (because \(12 \text{ inches} \times 12 \text{ inches} = 144 \text{ square inches}\))
- Convert 100,800 square inches to square feet:
\[
\frac{100,800 \text{ square inches}}{144 \text{ square inches per square foot}} = 700 \text{ square feet}
\]
2. **Calculate the Number of Gallons Needed:**
- One gallon covers 300 square feet.
- Divide the total area by the coverage of one gallon:
\[
\frac{700 \text{ square feet}}{300 \text{ square feet per gallon}} \approx 2.33 \text{ gallons}
\]
- Since Becky needs whole gallons, she should buy 3 gallons.
**Action:**
- Enter "3" into the solution box provided.
_Buttons:_
- **Check**: Submit your answer for verification.
- **Reset**: Clear your input for a new attempt.
**Note:** Always round up when buying paint to ensure complete coverage.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ff6323c-cf7e-493a-b269-a8fbd92b416a%2F3c66b7b8-1958-49ff-8f77-e4098f7610a5%2Fx7emr9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Calculating Paint Requirements**
Becky wants to paint the walls in her bedroom. A gallon of paint will cover 300 square feet. She measures the surface to be painted, and it's 100,800 square inches. How many gallons of paint should she buy?
**Solution:**
1. **Convert the Surface Area to Square Feet:**
- 1 square foot = 144 square inches (because \(12 \text{ inches} \times 12 \text{ inches} = 144 \text{ square inches}\))
- Convert 100,800 square inches to square feet:
\[
\frac{100,800 \text{ square inches}}{144 \text{ square inches per square foot}} = 700 \text{ square feet}
\]
2. **Calculate the Number of Gallons Needed:**
- One gallon covers 300 square feet.
- Divide the total area by the coverage of one gallon:
\[
\frac{700 \text{ square feet}}{300 \text{ square feet per gallon}} \approx 2.33 \text{ gallons}
\]
- Since Becky needs whole gallons, she should buy 3 gallons.
**Action:**
- Enter "3" into the solution box provided.
_Buttons:_
- **Check**: Submit your answer for verification.
- **Reset**: Clear your input for a new attempt.
**Note:** Always round up when buying paint to ensure complete coverage.
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