Question

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 groundhogs + three groundhogs + three groundhogs = 564
one groundhog + one tree group × one tree group = 384
one flower and butterfly group − one tree group = 93
one top hat × one top hat = one flower and butterfly group − 26
one groundhog + one flower and butterfly group − one tree group × one top hat = ?

Explanation:

Step1: Encontrar la marmota con sombrero

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

Step2: Encontrar el paisaje de invierno

Sea $W$ el paisaje de invierno.
$$188 + W^2 = 384 \implies W^2 = 384 - 188 = 196 \implies W = \sqrt{196} = 14$$

Step3: Encontrar el paisaje de primavera

Sea $S$ el paisaje de primavera.
$$S - 14 = 93 \implies S = 93 + 14 = 107$$

Step4: Encontrar el sombrero solo

Sea $H$ el sombrero solo.
$$H^2 = 107 - 26 = 81 \implies H = \sqrt{81} = 9$$

Step5: Calcular la última operación

Aplicar orden de operaciones (multiplicación primero):
$$G + S - W \times H = 188 + 107 - (14 \times 9)$$
$$= 295 - 126 = 169$$

Answer:

169