Counting Dimes, Nickels and Pennies Worksheet for elementary students to practice adding coin values in cents.

Problem Overview:

The task involves counting dimes, nickels, and pennies and calculating their total values in cents. Here's a breakdown of the solution:

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Step 1: Value of Each Coin

- Dime: 10 cents
- Nickel: 5 cents
- Penny: 1 cent

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Step 2: Counting Coins in Each Row

We will count the number of dimes, nickels, and pennies in each row and calculate the total value.

#### Row 1:
- Dimes: 3
- Nickels: 1
- Pennies: 0

Total value:
\[
3 \times 10 + 1 \times 5 + 0 \times 1 = 30 + 5 + 0 = 35 \text{ cents}
\]

#### Row 2:
- Dimes: 2
- Nickels: 3
- Pennies: 1

Total value:
\[
2 \times 10 + 3 \times 5 + 1 \times 1 = 20 + 15 + 1 = 36 \text{ cents}
\]

#### Row 3:
- Dimes: 3
- Nickels: 2
- Pennies: 2

Total value:
\[
3 \times 10 + 2 \times 5 + 2 \times 1 = 30 + 10 + 2 = 42 \text{ cents}
\]

#### Row 4:
- Dimes: 4
- Nickels: 3
- Pennies: 3

Total value:
\[
4 \times 10 + 3 \times 5 + 3 \times 1 = 40 + 15 + 3 = 58 \text{ cents}
\]

#### Row 5:
- Dimes: 2
- Nickels: 3
- Pennies: 4

Total value:
\[
2 \times 10 + 3 \times 5 + 4 \times 1 = 20 + 15 + 4 = 39 \text{ cents}
\]

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Step 3: Calculating Totals for Given Combinations

Now, we calculate the totals for the given combinations of coins.

#### Combination 1: 1 dime + 1 nickel + 1 penny
\[
1 \times 10 + 1 \times 5 + 1 \times 1 = 10 + 5 + 1 = 16 \text{ cents}
\]

#### Combination 2: 2 dimes + 2 nickels + 1 penny
\[
2 \times 10 + 2 \times 5 + 1 \times 1 = 20 + 10 + 1 = 31 \text{ cents}
\]

#### Combination 3: 4 dimes + 2 nickels + 3 pennies
\[
4 \times 10 + 2 \times 5 + 3 \times 1 = 40 + 10 + 3 = 53 \text{ cents}
\]

#### Combination 4: 3 dimes + 1 nickel + 2 pennies
\[
3 \times 10 + 1 \times 5 + 2 \times 1 = 30 + 5 + 2 = 37 \text{ cents}
\]

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Final Answers:

1. Row 1: \( \boxed{35} \)
2. Row 2: \( \boxed{36} \)
3. Row 3: \( \boxed{42} \)
4. Row 4: \( \boxed{58} \)
5. Row 5: \( \boxed{39} \)

#### Totals for Combinations:
1. \( 1 \text{ dime} + 1 \text{ nickel} + 1 \text{ penny} = \boxed{16} \)
2. \( 2 \text{ dimes} + 2 \text{ nickels} + 1 \text{ penny} = \boxed{31} \)
3. \( 4 \text{ dimes} + 2 \text{ nickels} + 3 \text{ pennies} = \boxed{53} \)
4. \( 3 \text{ dimes} + 1 \text{ nickel} + 2 \text{ pennies} = \boxed{37} \)