Ellen and Li play on the same basketballteam. In one game, Ellen scored one tenth ofthe team’s points and Li scored one fifth ofthe team’s points. Together, Ellen and Liscored 33 points. How many points did theteam score altogether?
Question
Ellen and Li play on the same basketballteam. In one game, Ellen scored one tenth ofthe team’s points and Li scored one fifth ofthe team’s points. Together, Ellen and Liscored 33 points. How many points did theteam score altogether?
Solution
Vamos a resolver el problema paso a paso.
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Sea el total de puntos que anotó el equipo.
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Ellen anotó una décima parte de los puntos del equipo, es decir, .
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Li anotó una quinta parte de los puntos del equipo, es decir, .
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Juntos, Ellen y Li anotaron 33 puntos. Por lo tanto, podemos escribir la ecuación:
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Para simplificar la ecuación, encontramos un denominador común. El denominador común de 10 y 5 es 10. Reescribimos la fracción como :
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Ahora sumamos las fracciones:
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Para despejar , multiplicamos ambos lados de la ecuación por 10:
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Finalmente, dividimos ambos lados de la ecuación por 3:
Por lo tanto, el equipo anotó un total de 110 puntos.
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