Step-by-Step Solutions:
1. Mrs. Hilt traveled 21,120 feet. How many miles did she travel?
* There are 5,280 feet in 1 mile.
* Divide the total feet by the number of feet in a mile: $21,120 \div 5,280$.
* Calculation: $21,120 / 5,280 = 4$.
* She traveled
4 miles.
2. Mrs. Hilt collected 1,003 nickels. How much money did the bank give her?
* A nickel is worth $0.05 (5 cents).
* Multiply the number of nickels by the value of one nickel: $1,003 \times 0.05$.
* Calculation: $1,000 \times 0.05 = 50.00$ and $3 \times 0.05 = 0.15$. Total = $50.15$.
* The bank gave her
$50.15.
3. Mrs. Hilt owns a house on a rectangular lot. The perimeter is 60 feet. What is the length and width?
* Perimeter formula for a rectangle: $P = 2 \times (\text{Length} + \text{Width})$.
* We know $P = 60$, so $60 = 2 \times (L + W)$.
* Divide by 2: $30 = L + W$.
* Since there are no other clues (like "the length is twice the width"), there are multiple possible answers as long as the length and width add up to 30.
* Common whole-number pairs could be: Length 20 ft and Width 10 ft, or Length 15 ft and Width 15 ft (a square), etc.
* *Note: Without more information, any pair of numbers that adds to 30 is mathematically correct.*
4. Mrs. Hilt bought 15 books for $11 each and sold them for $25 each. What is the difference between the total sold amount and total paid amount?
*
Total Paid: $15 \text{ books} \times \$11 = \$165$.
*
Total Sold: $15 \text{ books} \times \$25 = \$375$.
*
Difference: $\$375 - \$165$.
* Calculation: $375 - 165 = 210$.
* The difference is
$210.
5. Mrs. Hilt earned $25 one week and $50 the next. She gave 2/5 of her earnings to her sister. How much did she give?
*
Total Earnings: $\$25 + \$50 = \$75$.
*
Amount Given: Find $\frac{2}{5}$ of $75$.
* First, find $\frac{1}{5}$: $75 \div 5 = 15$.
* Then, multiply by 2: $15 \times 2 = 30$.
* She gave her sister
$30.
6. Philadelphia received 26 7/10 inches of snowfall. A province in Canada received three times as much. How much was the accumulation in that province?
* Convert the mixed number to an improper fraction or decimal: $26 \frac{7}{10} = 26.7$.
* Multiply by 3: $26.7 \times 3$.
* Calculation: $26 \times 3 = 78$ and $0.7 \times 3 = 2.1$.
* Total: $78 + 2.1 = 80.1$.
* As a mixed number: $80 \frac{1}{10}$ inches.
* The accumulation was
80.1 inches (or $80 \frac{1}{10}$ inches).
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Final Answer:
1. 4 miles
2. $50.15
3. Any length and width that add up to 30 feet (e.g., Length 20 ft, Width 10 ft)
4. $210
5. $30
6. 80.1 inches (or 80 7/10 inches)
Parent Tip: Review the logic above to help your child master the concept of 5th grade word problem worksheet.
