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# A basketball player made 12 out of 15 free throws she attempted

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A basketball player made 12 out of 15 free throws she attempted. She wants to know have many consecutive free throws she would have to make to raise the percent of successful free throws to 85%.

A. Write an equation to represent this situation

B. Solve the equation. How many consective free throws would she have to make to raise her percentage to 85%

Guest Nov 3, 2017
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We want to solve this

[12 + x ]  /  [15 + x]  =  .85    where x is the consecutive number

Cross-Multiply

12 + x  =   .85 [ 15  + x ]  simplify

12 + x  =  12.75  + .85x     subtract  .85x, 12 from both sides

.15x  =  .75       divide both sides by  .15

x =  5    ⇒    5 consecutive FTs

CPhill  Nov 3, 2017
edited by CPhill  Nov 3, 2017

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