Question

level 5: hard

1. 🌙 + ⬟ = 12
2. ☀ + 🌙 = 8
3. 😊 + ☀ = 9
4. 😊 + 😊 = 8

a = ☀
b = ⬟
c = 🌙
d = 😊

Explanation:

Let's assign variables to each symbol:
Let \( C = \text{Moon} \), \( A = \text{Sun} \), \( D = \text{Smiley face} \), \( B = \text{Pentagon} \)

Step1: Solve for D first

From the 4th equation: \( D + D = 8 \)
\( 2D = 8 \)
\( D = \frac{8}{2} = 4 \)

Step2: Solve for A using D

From the 3rd equation: \( D + A = 9 \)
Substitute \( D=4 \): \( 4 + A = 9 \)
\( A = 9 - 4 = 5 \)

Step3: Solve for C using A

From the 2nd equation: \( A + C = 8 \)
Substitute \( A=5 \): \( 5 + C = 8 \)
\( C = 8 - 5 = 3 \)

Step4: Solve for B using C

From the 1st equation: \( C + B = 12 \)
Substitute \( C=3 \): \( 3 + B = 12 \)
\( B = 12 - 3 = 9 \)

Answer:

\( A = 5 \)
\( B = 9 \)
\( C = 3 \)
\( D = 4 \)