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Jordan and Kamron are playing an arcade basketball game. At the end of the game, Kamron scored   fewer points than Jordan did, and Jordan scored   times as many points as Kamron did. Which of the following systems of equations could be used to find  , the number of points Jordan scored, and  , the number of points Kamron scored?

Question

Jordan and Kamron are playing an arcade basketball game. At the end of the game, Kamron scored   fewer points than Jordan did, and Jordan scored   times as many points as Kamron did. Which of the following systems of equations could be used to find  , the number of points Jordan scored, and  , the number of points Kamron scored?

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Solution

Let's denote the number of points Jordan scored as J J and the number of points Kamron scored as K K .

From the problem, we have two pieces of information:

  1. Kamron scored fewer points than Jordan.
  2. Jordan scored times as many points as Kamron.

We can translate these pieces of information into the following system of equations:

  1. K<J K < J
  2. J=aK J = aK (where a a is the multiplier indicating how many times Kamron's score Jordan's score is)

Therefore, the system of equations that could be used to find J J and K K is:

{K<JJ=aK \begin{cases} K < J \\ J = aK \end{cases}

This problem has been solved

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