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Chapter 7: Q34. (page 244)

A basketball player has made24 points out of30 free throws. She hopes to make all her next free throws until her free-throw percentage is or better. How many consecutive free throws will she have to make

Short Answer

Expert verified

The required attempts are,10 .

Step by step solution

01

Step 1. Given information.

Player made24 points out of30 free throws.

Percentage has to be=85 or better.

02

Step 2. Concept used.

Ratio of two numbers is a quotient when a number is divided by other.

Let n be the total number of free throws required.

After n more attempts, then total throws=30+n

Player made points=24+n

03

Step 3. Now, find the total number of attempts so that the free through percentage is  85 or better.

24+n30+n=85100100(24+n)=85(30+n)2400+100n=2550+85n

04

Step 4. Simplify the above equation, to find the value of n.

2400+100n=2550+85n100n鈭�85n=2550鈭�240015n=150n=10

Therefore, the required attempts are 10.

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