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Primary School Math Problem: Calculate Total Limo Length with Added Bumper
Mathematics
Grade 4 of Primary School
Question Content
The limo measured 19 feet 6 inches; then the driver added a special back bumper that was 1 foot 3 inches long (just to keep the photographers even farther back). How many feet long is the limo now, if you include the new back bumper?
Correct Answer
20.75 feet or 20 feet 9 inches
Detailed Solution Steps
1
Step 1: Add the inch measurements first. 6 inches + 3 inches = 9 inches.
2
Step 2: Add the foot measurements. 19 feet + 1 foot = 20 feet.
3
Step 3: Combine the two results to get the total length in feet and inches: 20 feet 9 inches.
4
Step 4 (optional, convert to decimal feet): Since 1 foot = 12 inches, 9 inches = 9/12 = 0.75 feet. So the total length is 20 + 0.75 = 20.75 feet.
Knowledge Points Involved
1
Customary Unit Conversion (Length)
In the US customary system, 1 foot equals 12 inches. This conversion is used to switch between inches and feet, often needed when adding or subtracting mixed length measurements. It applies to real-world scenarios like measuring objects, construction, or everyday length calculations.
2
Adding Mixed Unit Measurements
When adding measurements with two units (like feet and inches), you first add the smaller units (inches) together, then add the larger units (feet). If the sum of the smaller units exceeds the conversion factor to the larger unit, you convert the excess to the larger unit and carry it over. This is used for combining lengths, weights, or volumes in mixed units.
3
Decimal Representation of Customary Units
Fractions of a larger customary unit can be converted to decimals for easier calculations. For length, dividing the number of inches by 12 gives the decimal equivalent in feet. This is useful for contexts where decimal measurements are preferred, such as engineering or modern digital calculations.
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