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Step-5

Title: Percentage

Grade: 8-a Lesson: S1-L4

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

Description:

Step	Type	Explanation	Answer
1	Problem	A team lost 75 % of the matches it played. If it won 20 matches, find the number of matches it played.
2	Clue	calculation implies percentage	Divided by 100
3	Hint	Operator used : Percentage	%
4	Formula:	Number of matches it played	\$("Number of matches it won" \times 100) / "Percent of matches won"\$
5	Step	Matches won =	20
6	Step	Percentage of matches lost =	75 %
7	Step	Therefore Percentage of matches won =	(100 - 75) % = 25 %
8	Step	Number of matches played =	\$(20 \times \cancel(100)^4) / \cancel(25)^1\$
9	Step	⇒	\$20 \times 4 = 80\$
10	Step	Therefore, the total number of matches played is	80.

Step

Type

Explanation

Answer

Problem

A team lost 75 % of the matches it played. If it won 20 matches, find the number of matches it played.

Clue

calculation implies percentage

Divided by 100

Hint

Operator used : Percentage

Formula:

Number of matches it played

\$("Number of matches it won" \times 100) / "Percent of matches won"\$

Step

Matches won =

Step

Percentage of matches lost =

75 %

Step

Therefore Percentage of matches won =

(100 - 75) % = 25 %

Step

Number of matches played =

\$(20 \times \cancel(100)^4) / \cancel(25)^1\$

Step

⇒

\$20 \times 4 = 80\$

Step

Therefore, the total number of matches played is

80.