Lesson Example Discussion Quiz: Class Homework |
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 |
% means per 100 |
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 |
Matches won = |
20 |
|
6 |
Percentage of matches lost = |
75 % |
|
7 |
Therefore Percentage of matches won = |
(100 - 75) % = 25 % |
|
8 |
Number of matches played = |
\$(20 \times \cancel(100)^4) / \cancel(25)^1\$ |
|
9 |
⇒ |
\$20 \times 4 = 80\$ |
|
10 |
Therefore, the total number of matches played is |
80. |
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