Money Worksheets 3rd Grade Money Challenges - Free Printable

Problem Analysis:

Tyger has a collection of coins, and he chooses 3 of them to hide in his sack. Newton tries to guess how much money Tyger has by using clues provided by Frazer. The clues are:
1. 20 cents? — Tyger says "Too little."
2. 50 cents? — Tyger says "Too much."

From these clues, we know:
- The total amount of money in Tyger's sack is more than 20 cents.
- The total amount of money in Tyger's sack is less than 50 cents.

We need to determine all possible combinations of 3 coins that Tyger could have chosen, given the constraints. Additionally, we need to identify the largest and smallest amounts of money he could have chosen.

Step-by-Step Solution:

#### Step 1: Identify the Coins
The image shows the following coins:
- 2 quarters (25 cents each)
- 2 dimes (10 cents each)
- 2 nickels (5 cents each)
- 2 pennies (1 cent each)

#### Step 2: Determine Possible Combinations
Tyger chooses 3 coins from the above collection. We need to find all combinations of 3 coins whose total value is between 20 cents and 50 cents (exclusive).

#### Step 3: Calculate Total Values for Each Combination
We will systematically list all possible combinations of 3 coins and calculate their totals. We will only keep combinations whose totals fall within the range (20, 50) cents.

##### Combinations and Their Totals:
1. 2 quarters + 1 dime
- Total: \(25 + 25 + 10 = 60\) cents (Excluded: > 50 cents)

2. 2 quarters + 1 nickel
- Total: \(25 + 25 + 5 = 55\) cents (Excluded: > 50 cents)

3. 2 quarters + 1 penny
- Total: \(25 + 25 + 1 = 51\) cents (Excluded: > 50 cents)

4. 1 quarter + 2 dimes
- Total: \(25 + 10 + 10 = 45\) cents (Included: 20 < 45 < 50)

5. 1 quarter + 1 dime + 1 nickel
- Total: \(25 + 10 + 5 = 40\) cents (Included: 20 < 40 < 50)

6. 1 quarter + 1 dime + 1 penny
- Total: \(25 + 10 + 1 = 36\) cents (Included: 20 < 36 < 50)

7. 1 quarter + 2 nickels
- Total: \(25 + 5 + 5 = 35\) cents (Included: 20 < 35 < 50)

8. 1 quarter + 1 nickel + 1 penny
- Total: \(25 + 5 + 1 = 31\) cents (Included: 20 < 31 < 50)

9. 2 dimes + 1 nickel
- Total: \(10 + 10 + 5 = 25\) cents (Included: 20 < 25 < 50)

10. 2 dimes + 1 penny
- Total: \(10 + 10 + 1 = 21\) cents (Included: 20 < 21 < 50)

11. 1 dime + 2 nickels
- Total: \(10 + 5 + 5 = 20\) cents (Excluded: ≤ 20 cents)

12. 1 dime + 1 nickel + 1 penny
- Total: \(10 + 5 + 1 = 16\) cents (Excluded: ≤ 20 cents)

13. 2 nickels + 1 penny
- Total: \(5 + 5 + 1 = 11\) cents (Excluded: ≤ 20 cents)

#### Step 4: List Valid Combinations
From the above calculations, the valid combinations (with totals between 20 and 50 cents) are:
1. 1 quarter + 2 dimes = 45 cents
2. 1 quarter + 1 dime + 1 nickel = 40 cents
3. 1 quarter + 1 dime + 1 penny = 36 cents
4. 1 quarter + 2 nickels = 35 cents
5. 1 quarter + 1 nickel + 1 penny = 31 cents
6. 2 dimes + 1 nickel = 25 cents
7. 2 dimes + 1 penny = 21 cents

#### Step 5: Identify Largest and Smallest Amounts
- Largest amount: 45 cents
- Smallest amount: 21 cents

Final Answer:

\[
\boxed{
\begin{array}{c|c|c|c|c}
& \text{COIN 1} & \text{COIN 2} & \text{COIN 3} & \text{TOTAL} \\
\hline
1) & \text{Quarter} & \text{Dime} & \text{Dime} & 45 \\
2) & \text{Quarter} & \text{Dime} & \text{Nickel} & 40 \\
3) & \text{Quarter} & \text{Dime} & \text{Penny} & 36 \\
4) & \text{Quarter} & \text{Nickel} & \text{Nickel} & 35 \\
5) & \text{Quarter} & \text{Nickel} & \text{Penny} & 31 \\
6) & \text{Dime} & \text{Dime} & \text{Nickel} & 25 \\
7) & \text{Dime} & \text{Dime} & \text{Penny} & 21 \\
\end{array}
}
\]
\[
\boxed{\text{Largest: 45 ¢, Smallest: 21 ¢}}
\]