Problem Analysis
The image presents two sets of math puzzles involving fruits and desserts. Each puzzle uses symbols (fruits or desserts) to represent numerical values. The goal is to determine the value of each symbol and then solve for the unknowns in the final equations.
#### Left Puzzle (Fruits)
1.
Equation 1: Watermelon slices + Watermelon slices = 16
2.
Equation 2: Kiwi + Watermelon slices = 18
3.
Equation 3: Kiwi + Pear = 15
4.
Equation 4: Watermelon slices + Pear = ?
#### Right Puzzle (Desserts)
1.
Equation 1: Ice cream sandwich × Ice cream sandwich = 36
2.
Equation 2: Popsicle + Ice cream sandwich = 36
3.
Equation 3: Popsicle - Ice cream cone = 20
4.
Equation 4: Two ice cream cones + Ice cream sandwich = ?
---
Solving the Left Puzzle (Fruits)
#### Step 1: Solve for Watermelon Slices
From Equation 1:
\[
\text{Watermelon slices} + \text{Watermelon slices} = 16
\]
Let \( W \) represent the value of one watermelon slice.
\[
2W = 16 \implies W = 8
\]
So, one watermelon slice is worth
8.
#### Step 2: Solve for Kiwi
From Equation 2:
\[
\text{Kiwi} + \text{Watermelon slices} = 18
\]
Substitute \( W = 8 \):
\[
\text{Kiwi} + 8 = 18 \implies \text{Kiwi} = 10
\]
So, one kiwi is worth
10.
#### Step 3: Solve for Pear
From Equation 3:
\[
\text{Kiwi} + \text{Pear} = 15
\]
Substitute \( \text{Kiwi} = 10 \):
\[
10 + \text{Pear} = 15 \implies \text{Pear} = 5
\]
So, one pear is worth
5.
#### Step 4: Solve for the Final Equation
From Equation 4:
\[
\text{Watermelon slices} + \text{Pear} = ?
\]
Substitute \( W = 8 \) and \( \text{Pear} = 5 \):
\[
8 + 5 = 13
\]
So, the answer for the left puzzle is
13.
---
Solving the Right Puzzle (Desserts)
#### Step 1: Solve for Ice Cream Sandwich
From Equation 1:
\[
\text{Ice cream sandwich} \times \text{Ice cream sandwich} = 36
\]
Let \( I \) represent the value of one ice cream sandwich.
\[
I^2 = 36 \implies I = 6
\]
So, one ice cream sandwich is worth
6.
#### Step 2: Solve for Popsicle
From Equation 2:
\[
\text{Popsicle} + \text{Ice cream sandwich} = 36
\]
Substitute \( I = 6 \):
\[
\text{Popsicle} + 6 = 36 \implies \text{Popsicle} = 30
\]
So, one popsicle is worth
30.
#### Step 3: Solve for Ice Cream Cone
From Equation 3:
\[
\text{Popsicle} - \text{Ice cream cone} = 20
\]
Substitute \( \text{Popsicle} = 30 \):
\[
30 - \text{Ice cream cone} = 20 \implies \text{Ice cream cone} = 10
\]
So, one ice cream cone is worth
10.
#### Step 4: Solve for the Final Equation
From Equation 4:
\[
\text{Two ice cream cones} + \text{Ice cream sandwich} = ?
\]
Substitute \( \text{Ice cream cone} = 10 \) and \( I = 6 \):
\[
2 \times 10 + 6 = 20 + 6 = 26
\]
So, the answer for the right puzzle is
26.
---
Final Answers
- Left Puzzle:
13
- Right Puzzle:
26
\[
\boxed{13, 26}
\]
Parent Tip: Review the logic above to help your child master the concept of 4th grade math activities.
