Christmas Math Puzzles Online + PDF ? - Free Printable

Problem Analysis:

The image contains two sets of Christmas-themed math puzzles. Each puzzle involves solving for the values of different symbols (e.g., trees, lollipops, Santas, gifts, stars) using basic arithmetic operations. Let's solve each set step by step.

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Part 1: First Set of Puzzles

#### Equations:
1. \( \text{Tree} + \text{Tree} + \text{Tree} + \text{Tree} = 36 \)
2. \( \text{Tree} + \text{Tree} + \text{Lollipop} = 21 \)
3. \( \text{Lollipop} \times \text{Santa} = 24 \)
4. \( \text{Tree} - \text{Lollipop} + \text{Lollipop} \times \text{Santa} = ? \)

#### Step-by-Step Solution:

##### Step 1: Solve for Tree
From Equation 1:
\[
\text{Tree} + \text{Tree} + \text{Tree} + \text{Tree} = 36
\]
\[
4 \times \text{Tree} = 36
\]
\[
\text{Tree} = \frac{36}{4} = 9
\]

##### Step 2: Solve for Lollipop
From Equation 2:
\[
\text{Tree} + \text{Tree} + \text{Lollipop} = 21
\]
Substitute \(\text{Tree} = 9\):
\[
9 + 9 + \text{Lollipop} = 21
\]
\[
18 + \text{Lollipop} = 21
\]
\[
\text{Lollipop} = 21 - 18 = 3
\]

##### Step 3: Solve for Santa
From Equation 3:
\[
\text{Lollipop} \times \text{Santa} = 24
\]
Substitute \(\text{Lollipop} = 3\):
\[
3 \times \text{Santa} = 24
\]
\[
\text{Santa} = \frac{24}{3} = 8
\]

##### Step 4: Solve the Final Expression
From Equation 4:
\[
\text{Tree} - \text{Lollipop} + \text{Lollipop} \times \text{Santa} = ?
\]
Substitute \(\text{Tree} = 9\), \(\text{Lollipop} = 3\), and \(\text{Santa} = 8\):
\[
9 - 3 + 3 \times 8 = ?
\]
Follow the order of operations (PEMDAS/BODMAS):
\[
9 - 3 + 24 = 6 + 24 = 30
\]

#### Final Answers for Part 1:
\[
\text{Tree} = 9, \quad \text{Lollipop} = 3, \quad \text{Santa} = 8
\]
\[
\text{Final Expression} = 30
\]

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Part 2: Second Set of Puzzles

#### Equations:
1. \( \text{Gift} + \text{Gift} + \text{Gift} = 12 \)
2. \( \text{Gift} + \text{Gift} - \text{Tree} = 3 \)
3. \( \text{Gift} \times \text{Star} = 32 \)
4. \( \text{Gift} + \text{Gift} + \text{Tree} \times \text{Star} = ? \)

#### Step-by-Step Solution:

##### Step 1: Solve for Gift
From Equation 1:
\[
\text{Gift} + \text{Gift} + \text{Gift} = 12
\]
\[
3 \times \text{Gift} = 12
\]
\[
\text{Gift} = \frac{12}{3} = 4
\]

##### Step 2: Solve for Tree
From Equation 2:
\[
\text{Gift} + \text{Gift} - \text{Tree} = 3
\]
Substitute \(\text{Gift} = 4\):
\[
4 + 4 - \text{Tree} = 3
\]
\[
8 - \text{Tree} = 3
\]
\[
\text{Tree} = 8 - 3 = 5
\]

##### Step 3: Solve for Star
From Equation 3:
\[
\text{Gift} \times \text{Star} = 32
\]
Substitute \(\text{Gift} = 4\):
\[
4 \times \text{Star} = 32
\]
\[
\text{Star} = \frac{32}{4} = 8
\]

##### Step 4: Solve the Final Expression
From Equation 4:
\[
\text{Gift} + \text{Gift} + \text{Tree} \times \text{Star} = ?
\]
Substitute \(\text{Gift} = 4\), \(\text{Tree} = 5\), and \(\text{Star} = 8\):
\[
4 + 4 + 5 \times 8 = ?
\]
Follow the order of operations (PEMDAS/BODMAS):
\[
4 + 4 + 40 = 8 + 40 = 48
\]

#### Final Answers for Part 2:
\[
\text{Gift} = 4, \quad \text{Tree} = 5, \quad \text{Star} = 8
\]
\[
\text{Final Expression} = 48
\]

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Final Answer:

\[
\boxed{30, 48}
\]