Problem Analysis:
The task is to solve an emoji-based math puzzle where each emoji represents a numerical value. We need to determine the value of each emoji and then use those values to find the missing number in the final equation.
#### Given Equations:
1. 🍟 + 🍟 + 🍟 = 12
2. 🎂 + 🎂 × 🍟 = 50
3. 🍟 × 🍟 + 🎂 = 35
4. 🎂 + 🍟 × 🍟 = ?
Step-by-Step Solution:
#### Step 1: Solve for the value of 🍟 (hotdog)
From the first equation:
$$
抖音 + 抖音 + 抖音 = 12
$$
This can be written as:
$$
3 \times 抖音 = 12
$$
Solving for 抖音:
$$
抖音 = \frac{12}{3} = 4
$$
So, the value of 🍟 (hotdog) is
4.
#### Step 2: Solve for the value of 🎂 (cake)
From the second equation:
$$
🎂 + 🎂 \times 抖音 = 50
$$
Substitute the value of 抖音 (4):
$$
🎂 + 🎂 \times 4 = 50
$$
Let the value of 🎂 be \( x \). The equation becomes:
$$
x + 4x = 50
$$
Simplify:
$$
5x = 50
$$
Solving for \( x \):
$$
x = \frac{50}{5} = 10
$$
So, the value of 🎂 (cake) is
10.
#### Step 3: Verify the value of 🎂 using the third equation
From the third equation:
$$
抖音 \times 抖音 + 🎂 = 35
$$
Substitute the values of 抖音 (4) and 🎂 (10):
$$
4 \times 4 + 10 = 35
$$
Simplify:
$$
16 + 10 = 35
$$
This is correct, so the values are consistent.
#### Step 4: Solve for the missing number in the fourth equation
From the fourth equation:
$$
🎂 + 抖音 \times 抖音 = ?
$$
Substitute the values of 🎂 (10) and 抖音 (4):
$$
10 + 4 \times 4 = ?
$$
Simplify:
$$
10 + 16 = 26
$$
Final Answer:
The missing number is:
$$
\boxed{26}
$$
Parent Tip: Review the logic above to help your child master the concept of math brain teaser worksheet.
