Free Math Puzzles — Mashup Math - Free Printable

To solve the problem, we need to determine the values of the symbols (fish, lollipop, watermelon slice, and jelly beans) based on the given equations. Let's break it down step by step.

Step 1: Define Variables

Let:
- \( F \) = value of the fish
- \( L \) = value of the lollipop
- \( W \) = value of the watermelon slice
- \( J \) = value of the jelly beans

Step 2: Analyze Each Equation

#### Equation 1:
\[ F + J + F = L \]
This simplifies to:
\[ 2F + J = L \tag{1} \]

#### Equation 2:
\[ 26 - L = W \]
This simplifies to:
\[ L = 26 - W \tag{2} \]

#### Equation 3:
\[ W + W = 2 \]
This simplifies to:
\[ 2W = 2 \]
\[ W = 1 \tag{3} \]

#### Equation 4:
\[ F + F = W + 9 \]
This simplifies to:
\[ 2F = W + 9 \]
Substitute \( W = 1 \) from Equation 3:
\[ 2F = 1 + 9 \]
\[ 2F = 10 \]
\[ F = 5 \tag{4} \]

Step 3: Solve for \( L \)

Using Equation 2:
\[ L = 26 - W \]
Substitute \( W = 1 \):
\[ L = 26 - 1 \]
\[ L = 25 \tag{5} \]

Step 4: Solve for \( J \)

Using Equation 1:
\[ 2F + J = L \]
Substitute \( F = 5 \) and \( L = 25 \):
\[ 2(5) + J = 25 \]
\[ 10 + J = 25 \]
\[ J = 15 \tag{6} \]

Step 5: Solve the Final Equation

The final equation is:
\[ L - J = ? \]
Substitute \( L = 25 \) and \( J = 15 \):
\[ 25 - 15 = 10 \]

Final Answer:

\[
\boxed{10}
\]