Math Word Problems Averages - Free Printable
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Step-by-step solution for: Math Word Problems Averages
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Show Answer Key & Explanations
Step-by-step solution for: Math Word Problems Averages
Problem Analysis and Solution:
The image contains several problems related to averages. Let's solve each problem step by step.
---
#### Problem 1: Maddie's Books
- Given:
- In June, Maddie read 2 books.
- In July, Maddie read 3 books.
- We need to find the average number of books Maddie read per month.
- Solution:
The formula for the average is:
$$
\text{Average} = \frac{\text{Total Number of Books}}{\text{Number of Months}}
$$
Here:
- Total number of books = 2 (June) + 3 (July) = 5 books.
- Number of months = 2 (June and July).
Therefore:
$$
\text{Average} = \frac{5}{2} = 2.5
$$
- Answer:
$$
\boxed{2.5}
$$
---
#### Problem 2: Brad's Basketball Scores
- Given:
- Brad scored 10 points in the first game.
- Brad scored 14 points in the second game.
- We need to find the average number of points Brad scored per game.
- Solution:
The formula for the average is:
$$
\text{Average} = \frac{\text{Total Points Scored}}{\text{Number of Games}}
$$
Here:
- Total points scored = 10 (first game) + 14 (second game) = 24 points.
- Number of games = 2.
Therefore:
$$
\text{Average} = \frac{24}{2} = 12
$$
- Answer:
$$
\boxed{12}
$$
---
#### Problem 3: Katie's Dogs
- Given:
- Katie has three dogs weighing 7 pounds, 28 pounds, and 64 pounds.
- We need to find the average weight of Katie's dogs.
- Solution:
The formula for the average is:
$$
\text{Average} = \frac{\text{Total Weight of Dogs}}{\text{Number of Dogs}}
$$
Here:
- Total weight of dogs = 7 + 28 + 64 = 99 pounds.
- Number of dogs = 3.
Therefore:
$$
\text{Average} = \frac{99}{3} = 33
$$
- Answer:
$$
\boxed{33}
$$
---
#### Problem 4: Grandchildren's Ages
- Given:
- Grandchildren's ages are 68, 82, and 82 years.
- We need to find the average age of Grandpa's three grandchildren.
- Solution:
The formula for the average is:
$$
\text{Average} = \frac{\text{Total Age of Grandchildren}}{\text{Number of Grandchildren}}
$$
Here:
- Total age of grandchildren = 68 + 82 + 82 = 232 years.
- Number of grandchildren = 3.
Therefore:
$$
\text{Average} = \frac{232}{3} \approx 77.33
$$
- Answer:
$$
\boxed{77.33}
$$
---
#### Problem 5: Mrs. Olson's Shopping
- Given:
- Mrs. Olson bought four items costing $41, $67, $30, and $19.
- We need to find the average price of the four items.
- Solution:
The formula for the average is:
$$
\text{Average} = \frac{\text{Total Cost of Items}}{\text{Number of Items}}
$$
Here:
- Total cost of items = $41 + $67 + $30 + $19 = $157.
- Number of items = 4.
Therefore:
$$
\text{Average} = \frac{157}{4} = 39.25
$$
- Answer:
$$
\boxed{39.25}
$$
---
#### Problem 6: Neighbor's Sunflowers
- Given:
- Heights of sunflowers in a garden are 70 inches, 70 inches, 90 inches, and 62 inches.
- We need to find the average height of the sunflowers.
- Solution:
The formula for the average is:
$$
\text{Average} = \frac{\text{Total Height of Sunflowers}}{\text{Number of Sunflowers}}
$$
Here:
- Total height of sunflowers = 70 + 70 + 90 + 62 = 292 inches.
- Number of sunflowers = 4.
Therefore:
$$
\text{Average} = \frac{292}{4} = 73
$$
- Answer:
$$
\boxed{73}
$$
---
#### Problem 7: Lily's Money Spending
- Given:
- Lily spent $2.50 on Monday, $1.25 on Tuesday, $2.25 on Wednesday, and $2.00 on Friday.
- We need to find the average amount of money Lily spent per day.
- Solution:
The formula for the average is:
$$
\text{Average} = \frac{\text{Total Amount Spent}}{\text{Number of Days}}
$$
Here:
- Total amount spent = $2.50 + $1.25 + $2.25 + $2.00 = $8.00.
- Number of days = 4.
Therefore:
$$
\text{Average} = \frac{8.00}{4} = 2.00
$$
- Answer:
$$
\boxed{2.00}
$$
---
Final Answers:
1. $ \boxed{2.5} $
2. $ \boxed{12} $
3. $ \boxed{33} $
4. $ \boxed{77.33} $
5. $ \boxed{39.25} $
6. $ \boxed{73} $
7. $ \boxed{2.00} $
Parent Tip: Review the logic above to help your child master the concept of average word problems worksheet.