To solve this puzzle, we need to determine the value of each fruit and then use those values to find the answer to the final equation. Let's break it down step by step.
Step 1: Assign Variables
Let:
- Peach = \( P \)
- Watermelon slices = \( W \)
- Strawberry = \( S \)
- Ice cream = \( I \)
Step 2: Analyze Each Equation
#### Equation 1:
\[ P + W + P = 21 \]
\[ 2P + W = 21 \quad \text{(Equation A)} \]
#### Equation 2:
\[ 10 = S + 4 + S \]
\[ 10 = 2S + 4 \]
\[ 2S = 6 \]
\[ S = 3 \quad \text{(Strawberry value)} \]
#### Equation 3:
\[ S + I = 8 \]
Substitute \( S = 3 \):
\[ 3 + I = 8 \]
\[ I = 5 \quad \text{(Ice cream value)} \]
#### Equation 4:
\[ 14 = P + I \]
Substitute \( I = 5 \):
\[ 14 = P + 5 \]
\[ P = 9 \quad \text{(Peach value)} \]
#### Equation 5:
\[ 2P + W = 21 \]
Substitute \( P = 9 \):
\[ 2(9) + W = 21 \]
\[ 18 + W = 21 \]
\[ W = 3 \quad \text{(Watermelon slices value)} \]
Step 3: Solve the Final Equation
The final equation is:
\[ S + P + I + W = ? \]
Substitute the values we found:
\[ S = 3, \, P = 9, \, I = 5, \, W = 3 \]
\[ S + P + I + W = 3 + 9 + 5 + 3 \]
\[ S + P + I + W = 20 \]
Final Answer:
\[
\boxed{20}
\]
Parent Tip: Review the logic above to help your child master the concept of 6th grade math puzzles worksheet.