Question

Before last night's game, a basketball player had scored an average (arithmetic mean) of 20 points per game. She scored 25 points in last night's game, raising her average to 21 points per game. How many games did she play before last night's game? a. 3 b. 4 c. 5 d. 6 e. 7

Name: Problem 7, Chapter :
Uploaded: 2020-07-14T18:17:13-08:00
Duration: 2 min 1 s
Channel: Heather Zimmers
Description: Before last night's game, a basketball player had scored an average (arithmetic mean) of 20 points per game. She scored 25 points in last night's game, raising her average to 21 points per game. How many games did she play before last night's game? a. 3 b. 4 c. 5 d. 6 e. 7

   Before last night's game, a basketball player had scored an average (arithmetic mean) of 20 points per game. She scored 25 points in last night's game, raising her average to 21 points per game.
How many games did she play before last night's game?
a. 3
b. 4
c. 5
d. 6
e. 7

Instant Answer

Solved by Expert Heather Zimmers

07/14/2020

Step 1

We know that her average score per game was 20 points, so the total points she had scored before last night's game would be $20X$. Show more…

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Before last night's game, a basketball player had scored an average (arithmetic mean) of 20 points per game. She scored 25 points in last night's game, raising her average to 21 points per game. How many games did she play before last night's game? a. 3 b. 4 c. 5 d. 6 e. 7

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Key Concepts

Weighted Averages

A weighted average takes into account not only the values themselves but also the number of times each value occurs or their relative importance. When adding new data to an existing average, the previous sum and count are combined with the new data point to update the overall average.

Solving Linear Equations

Solving linear equations involves finding the value of an unknown variable that makes the equation true. In these types of problems, an equation is formed by equating the sum of points before and after the new game, which allows for the determination of the unknown quantity, such as the number of games played.

Arithmetic Mean

The arithmetic mean is the sum of all values divided by the number of values. It is a measure of central tendency used to summarize a set of data with a single number, representing the typical value within that set.

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