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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Averages

Grade: 8-a Lesson: S3-L1

Explanation: Let us verify the answer here with the steps.

Description:

Step	Type	Explanation	Answer
1	Problem	The average of runs of a cricket player of 8 innings was 42. How many runs must he make in his next innings so as to increase his average of runs by 6 ?
2	Hint	Formula used	\$"Average" = "sum of set of numbers" / "amount of numbers in set"\$
3	Step	According to the formula	Total = Average x no.of innings
4	Step	Therefore, total runs	42 x 8 = 336
5	Step	Now, increase in average is	6runs
6	Step	So, new average	42 + 6 = 48runs
7	Step	Total runs = new average x new no. of innings	48 x 9 = 432
8	Step	Runs made in the 9th inning	432 - 336 = 96

Step

Type

Explanation

Answer

Problem

The average of runs of a cricket player of 8 innings was 42. How many runs must he make in his next innings so as to increase his average of runs by 6 ?

Hint

Formula used

\$"Average" = "sum of set of numbers" / "amount of numbers in set"\$

Step

According to the formula

Total = Average x no.of innings

Step

Therefore, total runs

42 x 8 = 336

Step

Now, increase in average is

6runs

Step

So, new average

42 + 6 = 48runs

Step

Total runs = new average x new no. of innings

48 x 9 = 432

Step

Runs made in the 9th inning

432 - 336 = 96