A child has collected 100 pennies, 90 nickels, 50 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins?
A.
Chart 1
B.
Chart 2
C.
Chart 3
D.
Chart 4
The correct answer and Explanation is :
To determine which chart accurately organizes the number of coins, let’s first calculate the total number of coins collected. The child has:
- 100 pennies
- 90 nickels
- 50 dimes
- 5 quarters
Adding these together gives us:
100 (pennies) + 90 (nickels) + 50 (dimes) + 5 (quarters) = 245 coins in total.
For each chart, the total number of coins and the distribution among pennies, nickels, dimes, and quarters should add up to 245. We need to examine the charts and verify which one correctly reflects these numbers.
- Chart 1: If Chart 1 displays the total number of coins as 245 and lists the coins in the following way:
- Pennies: 100
- Nickels: 90
- Dimes: 50
- Quarters: 5 Then Chart 1 is accurate.
- Chart 2: If Chart 2 shows a different total number of coins or incorrect distribution among the types of coins, then it’s not the correct chart.
- Chart 3: Similarly, if Chart 3 does not sum up to 245 coins or does not have the correct breakdown of each type of coin, it is not accurate.
- Chart 4: Lastly, if Chart 4 also fails to match the correct total or breakdown of coins, it will not be correct.
To confirm which chart is accurate, check the total and the individual numbers of each coin type against the given data. The correct chart should list:
- 100 pennies
- 90 nickels
- 50 dimes
- 5 quarters
and the sum of these should be 245 coins. The chart that meets these criteria is the accurate representation of the coins collected.