Question

what is the value of 1 groundhog?
happy groundhog day!
groundhog day, celebrated in the united states and canada on february 2nd, is quirky and beloved tradition where the emergence of a groundhog from its burrow 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 with top hats + three groundhogs with top hats + three groundhogs with top hats = 564
groundhog with top hat + two snow scenes with trees and snowmen × two snow scenes with trees and snowmen = 384
flower and butterfly scene − snow scene with trees and snowman = 93
top hat × top hat = flower and butterfly scene − 26
groundhog with top hat + flower and butterfly scene − snow scene with trees and snowman × top hat = ?

Explanation:

Step1: Definir variable de marmota

Sea $G$ el valor de una marmota con sombrero.
$$G + G + G = 564$$

Step2: Calcular valor de la marmota

Resolver la ecuación para $G$:
$$3G = 564 \implies G = \frac{564}{3} = 188$$

Step3: Definir variable de árboles

Sea $T$ el valor del grupo de árboles. Sustituir $G$ en la segunda ecuación:
$$188 + T \times T = 384$$

Step4: Calcular valor de los árboles

Resolver para $T$:
$$T^2 = 384 - 188 = 196 \implies T = \sqrt{196} = 14$$

Step5: Definir variable de primavera

Sea $S$ el valor del grupo de primavera. Usar la tercera ecuación:
$$S - 14 = 93$$

Step6: Calcular valor de la primavera

Resolver para $S$:
$$S = 93 + 14 = 107$$

Step7: Definir variable de sombrero

Sea $H$ el valor del sombrero solo. Usar la cuarta ecuación:
$$H \times H = 107 - 26$$

Step8: Calcular valor del sombrero

Resolver para $H$:
$$H^2 = 81 \implies H = \sqrt{81} = 9$$

Step9: Calcular la última expresión

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

Step10: Obtener el resultado final

Sumar y restar los términos:
$$= 295 - 126 = 169$$

Answer:

169