1. BLACK BALL = 12
BLACK BALL * BLACK BALL = 144
So BLACK BALL = \(\sqrt{144}\) = 12
2. GOAL = 9
BLACK BALL * GOAL = 108 => 12 * GOAL = 108
So GOAL= 108 / 12 = 9
3. SHOE = 6
GOAL + SHOE = 15 => 9 + SHOE = 15
So SHOE = 15 – 9 = 6
4. KANGAROO = 8
SHOE * KANGAROO = 48 => 6 * KANGAROO = 48
So KANGARO = 48 / 6 = 8
5. GREEN BALL = 10
KANGAROO * GREEN BALL = 80 => 8 * GREEN BALL = 80
So GREEN BALL = 80 / 8 = 10
6. T – SHIRT = 7
T – SHIRT + GREEN BALL = 17 => T – SHIRT + 10 = 17
So T – SHIRT = 17 – 10 = 7
7. YELLOW BALL = 5
GOAL * YELLOW BALL = 45 => 9 * YELLOW BALL = 45
So YELLOW BALL = 45 / 9 = 5
We have:
KANGAROO = 8
YELLOW BALL = 5
T – SHIRT = 7
BLACK BALL = 12
SHOE = 6
GREEN BALL = 10
GOAL = 9
We know that P = 8, E = 5, N = 7, A = 12, L = 6, T = 10, Y = 9
So the secret word is “PENALTY”
