in a group of people 60% like chocolate and 70% like strawberry then percantage of peole which like both strawberry and chocolate
assuming that everyone likes one or both of those flavors, then
60+70-x = 100
To find the percentage of people who like both strawberry and chocolate, you need to determine the intersection between the two groups.
1. Subtract the percentage of people who like strawberry from 100% to find the percentage of people who do not like strawberry: 100% - 70% = 30%.
2. Subtract the percentage of people who like chocolate from 100% to find the percentage of people who do not like chocolate: 100% - 60% = 40%.
3. Add the percentage of people who like both strawberry and chocolate by finding the intersection of the two groups: 100% - (30% + 40%) = 100% - 70% = 30%.
Therefore, 30% of the people in the group like both strawberry and chocolate.
To find the percentage of people who like both strawberry and chocolate, we need to use a mathematical concept called intersection.
Here's how you can calculate it:
1. Start with the two given percentages: 60% like chocolate and 70% like strawberry.
2. Identify the smaller percentage (in this case, 60% is smaller) and consider it as 100%.
3. Now, determine the proportion of the larger percentage (70%) in relation to the smaller one (60%).
- Divide the larger percentage by the smaller percentage: 70% / 60% = 1.17
- This means that 70% is 117% of 60%.
4. Subtract the overlap (100%) from the proportion we just found (117% - 100%).
- 117% - 100% = 17%
5. Therefore, the percentage of people who like both strawberry and chocolate is 17%.
So, 17% of the people like both strawberry and chocolate.