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In leading their basketball team to victory, Kylie and Shaniqua were the top 2 scorers in the championship game. Using the following clues, determine how many points each girl scored:

  • If you subtract 2 times Kylie's points from 3 times Shaniqua's points, the difference is less than 6
  • Shaniqua scored at least as many points as nine more than 1/4 of Kylie's points
  • Kylie scored fewer then 20 points 

Remember that in basketball you can only score whole number of points.

SHOW YOUR WORK!

 Jan 17, 2019
edited by Guest  Jan 17, 2019
edited by Guest  Jan 17, 2019
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Here's a hint for you to solve this! VVV
 

In an algebra problem like this, one of the best strategies is to translate the sentences into equations.

 

Let Kylie's points be K and Shaniqua's points be S.

 

The first sentence says: If you subtract 2 times Kylie's points from 3 times Shaniqua's points, the difference is less than 6

We can translate this into an equation of: 3S-2K <6 

 

The second sentence says: Shaniqua scored at least as many points as nine more than 1/4 of Kylie's points

We can translate this into an equation of: K/4 + 9 ≥ S

 

And for the third sentence: Kylie scored fewer then 20 points 

We can translate this into an equation of: K < 20

 

From this sentence, "Remember that in basketball you can only score whole number of points." we know that the answers are positive integers. 

 

So, our translations get us this systems of equations:

1) 3S-2K <6 

2) K/4 + 9 ≥ S

3) K < 20

 

You can solve these system of equations by separating them into separate cases: in other words, you can still do substitution with the variables except try doing it so that K/4 + 9 is EQUAL TO S and then K/4 + 9 IS GREATER THAN S. 

 

Just a suggestion! Hope this helped!

 Jan 17, 2019

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