97% will Fail To Solve This Test

Let’s solve for the values step by step.

Given equations:

1. Red × Blue = 72
   • Let R be the red heart and B be the blue heart.
   • R \times B = 72
2. Blue × Green = 36
   • Let G be the green heart.
   • B \times G = 36
3. Red × Green = 32
   • R \times G = 32
4. Find the value of Green (G).

Step-by-step solution:

We have three equations:

1. R \times B = 72
2. B \times G = 36
3. R \times G = 32

From equation (1), solve for R:
R = \frac{72}{B}

From equation (2), solve for G:
G = \frac{36}{B}

Substituting these values into equation (3):
\left(\frac{72}{B}\right) \times \left(\frac{36}{B}\right) = 32
\frac{72 \times 36}{B^2} = 32
\frac{2592}{B^2} = 32
B^2 = \frac{2592}{32}
B^2 = 81
B = 9

Find G:

Using B \times G = 36:
9 \times G = 36
G = \frac{36}{9} = 4

Thus, the Green heart (G) = 4.

Final Answer: 4.