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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?

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Solution

Vamos a resolver el problema paso a paso.

  1. Sea T T el total de puntos que anotó el equipo.

  2. Ellen anotó una décima parte de los puntos del equipo, es decir, T10 \frac{T}{10} .

  3. Li anotó una quinta parte de los puntos del equipo, es decir, T5 \frac{T}{5} .

  4. Juntos, Ellen y Li anotaron 33 puntos. Por lo tanto, podemos escribir la ecuación: T10+T5=33 \frac{T}{10} + \frac{T}{5} = 33

  5. Para simplificar la ecuación, encontramos un denominador común. El denominador común de 10 y 5 es 10. Reescribimos la fracción T5 \frac{T}{5} como 2T10 \frac{2T}{10} : T10+2T10=33 \frac{T}{10} + \frac{2T}{10} = 33

  6. Ahora sumamos las fracciones: T+2T10=33 \frac{T + 2T}{10} = 33 3T10=33 \frac{3T}{10} = 33

  7. Para despejar T T , multiplicamos ambos lados de la ecuación por 10: 3T=330 3T = 330

  8. Finalmente, dividimos ambos lados de la ecuación por 3: T=110 T = 110

Por lo tanto, el equipo anotó un total de 110 puntos.

This problem has been solved

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