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rosiegirl313
27.06.2021 •
Mathematics
Resuelve el siguiente problema aplicado al sistema de ecuaciones, utilizando cualquiera de los tres métodos aprendidos: Sergio tiene $ 1.950 en monedas de $ 100 y de $ 50. En total tiene 24 monedas. Determina cuántas monedas son de $ 100 y cuántas de $ 50.
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Ответ:
Tiene 9 monedas de $50 y 15 monedas de $100.
Step-by-step explanation:
Sergio tiene $1950 en monedas de $100 y $50, entonces la primera ecuación es la siguiente:
Ahora, en total tiene 24 monedas:
De la ecuación (2) tenemos:
Ahora introduciendo la ecuación (3) en la ecuación (1) y resolviendo para "y" nos queda:
Con la ecuación (3) podemos hallar el valor de "x":
Por lo tanto, tiene 9 monedas de $50 y 15 monedas de $100.
Espero que te sea de utilidad!
Ответ:
14
step-by-step explanation: