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In a community, 36% of the total families use desert coolers and 71% of the total use ACs. What is the minimum percentage of families that use both desert coolers and ACs?
- a)10%
- b)9%
- c)7%
- d)6%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a community, 36% of the total families use desert coolers and 71% o...
The number of families in a community that use both desert coolers and ACs will be the minimum if each family uses at least one item out of desert coolers and ACs, i.e. 100% families use at least one item out of desert coolers and ACs.
So, the minimum percentage of families using both desert coolers and
ACs = 71% + 36% - 100% = 7%
ACs = 71% + 36% - 100% = 7%
Most Upvoted Answer
In a community, 36% of the total families use desert coolers and 71% o...
Given Information:
- 36% of the total families use desert coolers.
- 71% of the total families use ACs.
To Find:
The minimum percentage of families that use both desert coolers and ACs.
Explanation:
To find the minimum percentage of families that use both desert coolers and ACs, we need to consider the overlapping portion of the two percentages.
Let's assume that there are a total of 100 families in the community.
Step 1: Calculate the number of families using desert coolers:
36% of 100 = (36/100) * 100 = 36 families
Step 2: Calculate the number of families using ACs:
71% of 100 = (71/100) * 100 = 71 families
Step 3: Calculate the maximum number of families that can use both desert coolers and ACs:
Since the total number of families is 100, the maximum number of families that can use both desert coolers and ACs is the minimum of the two percentages, i.e., the smaller value between 36 and 71.
Therefore, the minimum percentage of families that use both desert coolers and ACs is (36/100) * 100 = 36%.
Hence, the correct answer is option C) 7%.
- 36% of the total families use desert coolers.
- 71% of the total families use ACs.
To Find:
The minimum percentage of families that use both desert coolers and ACs.
Explanation:
To find the minimum percentage of families that use both desert coolers and ACs, we need to consider the overlapping portion of the two percentages.
Let's assume that there are a total of 100 families in the community.
Step 1: Calculate the number of families using desert coolers:
36% of 100 = (36/100) * 100 = 36 families
Step 2: Calculate the number of families using ACs:
71% of 100 = (71/100) * 100 = 71 families
Step 3: Calculate the maximum number of families that can use both desert coolers and ACs:
Since the total number of families is 100, the maximum number of families that can use both desert coolers and ACs is the minimum of the two percentages, i.e., the smaller value between 36 and 71.
Therefore, the minimum percentage of families that use both desert coolers and ACs is (36/100) * 100 = 36%.
Hence, the correct answer is option C) 7%.
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In a community, 36% of the total families use desert coolers and 71% of the total use ACs. What is the minimum percentage of families that use both desert coolers and ACs?a)10%b)9%c)7%d)6%Correct answer is option 'C'. Can you explain this answer?
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