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The question #11 from 4.5 Modelling With Algebra Section is Sally, Letitia, and Jessica play together on a basketball team. Now at the end of the season, Sally has been scored 8 more points than Letitia, while Letitia has been scored just twice as many points as Jessica. The 3 girls scored a total of 108 points. How many points did an each girl score?

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Answer:

Jessica scored 20 points, Letitia scored 40 points, and Sally scored 48 points.

Step-by-step explanation:

Let x represent the points Jessica score then...

Letitia scored 2x points (twice as many as Jessica) and Sally scored 2x+8 (8 more than Letitia) points.

We can use this information to set up an equation:

x+2x+2x+8=108

Combine like terms

5x+8=108

Subtract 8 from both sides

5x=100

Divide both sides by 5

x=20 (Jessica)

2x=2(20)=40 (Letitia)

2x+8=2(20)+8=48 (Sally)

Jessica scored 20 points, Letitia scored 40 points, and Sally scored 48 points.