Charles has 34 coins 1/3 of them are pennies 1/4 is nickles 1/6 is dimes and the rest of them are quarters. Tell how many of each coin Charles found. Draw all coins and label them
Are you sure he has 34 coins?
Are you sure he doesn't have 36 coins?
yes
To solve this problem, we can start by finding the fraction of each coin type out of the total number of coins Charles has.
Step 1: Convert the fractions into decimals.
- Pennies: 1/3 = 1 ÷ 3 ≈ 0.33
- Nickels: 1/4 = 1 ÷ 4 = 0.25
- Dimes: 1/6 = 1 ÷ 6 ≈ 0.17
Step 2: Add the decimals together to find the fraction of quarters.
- Quarters: 1 - (0.33 + 0.25 + 0.17) = 1 - 0.75 ≈ 0.25
This means that quarters make up 0.25, or 1/4 of Charles' coins.
Step 3: Determine the number of each type of coin.
- Multiply the fraction of each coin by the total number of coins to find the quantity for each coin type.
- Pennies: 0.33 (fraction) × 34 (total coins) = 11.22 ≈ 11 (11 pennies)
- Nickels: 0.25 (fraction) × 34 (total coins) = 8.5 ≈ 8 (8 nickels)
- Dimes: 0.17 (fraction) × 34 (total coins) = 5.78 ≈ 6 (6 dimes)
- Quarters: 0.25 (fraction) × 34 (total coins) = 8.5 ≈ 8 (8 quarters)
In summary, Charles found:
- 11 pennies
- 8 nickels
- 6 dimes
- 8 quarters
Now, let's draw the coins and label them accordingly:
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| o o o o o o |
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| Penny Penny Penny Nickel Dime Quarter|
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