Question

what is the value of the top hat icon? *
happy groundhog day!
groundhog day, celebrated in the united states and canada on february 2nd, is a quirky and beloved tradition where the emergence of a groundhog from its burrow is observed to predict whether there will be six more weeks of winter or an early spring, based on whether or not the groundhog sees its shadow.
three groundhog with top hat icons + three groundhog with top hat icons + three groundhog with top hat icons = 564
groundhog with top hat icon + tree icon × tree icon = 384
flower and butterfly icon − tree icon = 93
top hat icon × top hat icon = flower and butterfly icon − 26
groundhog with top hat icon + flower and butterfly icon − tree icon × top hat icon =?
○ 13
○ 9

Explanation:

Step1: Calcular marmota con sombrero

Sea $G$ = marmota con sombrero.
$$3G = 564 \implies G = \frac{564}{3} = 188$$

Step2: Calcular icono de árboles

Sea $T$ = icono de árboles. Sustituimos $G$:
$$188 + T \times T = 384 \implies T^2 = 384 - 188 = 196 \implies T = \sqrt{196} = 14$$

Step3: Calcular icono de flores

Sea $F$ = icono de flores. Sustituimos $T$:
$$F - 14 = 93 \implies F = 93 + 14 = 107$$

Step4: Calcular sombrero solo

Sea $H$ = sombrero solo. Sustituimos $F$:
$$H \times H = 107 - 26 = 81 \implies H = \sqrt{81} = 9$$

Answer:

9