Problem Analysis:
The task involves analyzing a bar graph that shows the number of different types of coins (pennies, nickels, dimes, and quarters) in Penny's piggy bank. Using this information, we need to answer five questions about the total value of the coins.
#### Bar Graph Data:
-
Pennies: Approximately 50 coins
-
Nickels: Approximately 20 coins
-
Dimes: Approximately 35 coins
-
Quarters: Approximately 25 coins
Step-by-Step Solution:
####
Question 1: How many dimes does Penny have?
- From the bar graph, the height of the "Dimes" bar corresponds to approximately 35.
-
Answer: 35 dimes.
####
Question 2: Look at the number of pennies. How many quarters is that worth?
- Each penny is worth $0.01.
- Each quarter is worth $0.25.
- Number of pennies = 50.
- Total value of pennies = \( 50 \times 0.01 = 0.50 \) dollars.
- To find how many quarters are equivalent to $0.50:
\[
\text{Number of quarters} = \frac{0.50}{0.25} = 2
\]
-
Answer: 2 quarters.
####
Question 3: Look at the number of quarters. How many dollars and cents is that worth?
- Number of quarters = 25.
- Value of one quarter = $0.25.
- Total value of quarters = \( 25 \times 0.25 = 6.25 \) dollars.
-
Answer: $6.25.
####
Question 4: How much are the pennies and nickels worth all together?
-
Pennies:
- Number of pennies = 50.
- Value of one penny = $0.01.
- Total value of pennies = \( 50 \times 0.01 = 0.50 \) dollars.
-
Nickels:
- Number of nickels = 20.
- Value of one nickel = $0.05.
- Total value of nickels = \( 20 \times 0.05 = 1.00 \) dollars.
- Combined value of pennies and nickels:
\[
0.50 + 1.00 = 1.50 \text{ dollars}
\]
-
Answer: $1.50.
####
Question 5: Count all the money. How much is it worth all together?
-
Pennies:
- Total value = $0.50.
-
Nickels:
- Total value = $1.00.
-
Dimes:
- Number of dimes = 35.
- Value of one dime = $0.10.
- Total value of dimes = \( 35 \times 0.10 = 3.50 \) dollars.
-
Quarters:
- Total value = $6.25 (from Question 3).
- Combined value of all coins:
\[
0.50 + 1.00 + 3.50 + 6.25 = 11.25 \text{ dollars}
\]
-
Answer: $11.25.
Final Answers:
1.
35 dimes
2.
2 quarters
3.
$6.25
4.
$1.50
5.
$11.25
\boxed{35, 2, 6.25, 1.50, 11.25}
Parent Tip: Review the logic above to help your child master the concept of pennies a day worksheet answers.