# How do you solve this?

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In Gym class, Sue is shooting basketball free throws. She is shooting three sets of twenty shots each. In her first two attempts, she made 13 and 18 free throws. What are the possible scores on her third attempt if she is to have an average between 12 and 16 free throws after all three attempts? Express your answer in the form of a compound inequality using the variable F to represent a successful basketball free throw.

In Gym class, Sue is shooting basketball free throws. She is shooting three sets of twenty shots each. In her first two attempts, she made 13 and 18 free throws. What are the possible scores on her third attempt if she is to have an average between 12 and 16 free throws after all three attempts? Express your answer in the form of a compound inequality using the variable F to represent a successful basketball free throw.

##### 1 Answer

#### Explanation:

If

The average needs to be between

Multiplying by

We know that

Subtracting

That means the set of all possible scores is