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There are 200 people in a hall. They are divided equally into 7 groups of adults and 3 groups of children. If there are 2 adults in each group, then how many children are there in each group ?
- a)30
- b)60
- c)70
- d)62
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
There are 200 people in a hall. They are divided equally into 7 groups...
The correct answer is d
Let adult number be A and children number be C
7A + 3C = 200……Eq..1
7 × 2 + 3C = 200.. Eq..2
14 + 3C = 200
3C = 200 - 14
3C = 186
C = 186/3
C = 62
There are 62 children in each of the 3 groups
Most Upvoted Answer
There are 200 people in a hall. They are divided equally into 7 groups...
To solve this problem, we need to determine the total number of children in the hall and then divide them equally into 3 groups.
Total Number of People
First, let's find the total number of people in the hall. We are given that there are 200 people in total.
Number of Groups
Next, we need to determine the number of groups. The problem states that there are 7 groups of adults and 3 groups of children. Since the groups are divided equally, we can calculate the number of groups by adding the number of adult groups and child groups: 7 + 3 = 10 groups.
Number of Adults
We know that there are 2 adults in each group. So, to find the total number of adults, we can multiply the number of adult groups by 2: 7 groups * 2 adults/group = 14 adults.
Number of Children
To find the total number of children, we can subtract the number of adults from the total number of people: 200 people - 14 adults = 186 children.
Number of Children in Each Group
Finally, to determine the number of children in each group, we divide the total number of children by the number of child groups: 186 children / 3 groups = 62 children in each group.
Therefore, the correct answer is option 'D' - 62 children.
Total Number of People
First, let's find the total number of people in the hall. We are given that there are 200 people in total.
Number of Groups
Next, we need to determine the number of groups. The problem states that there are 7 groups of adults and 3 groups of children. Since the groups are divided equally, we can calculate the number of groups by adding the number of adult groups and child groups: 7 + 3 = 10 groups.
Number of Adults
We know that there are 2 adults in each group. So, to find the total number of adults, we can multiply the number of adult groups by 2: 7 groups * 2 adults/group = 14 adults.
Number of Children
To find the total number of children, we can subtract the number of adults from the total number of people: 200 people - 14 adults = 186 children.
Number of Children in Each Group
Finally, to determine the number of children in each group, we divide the total number of children by the number of child groups: 186 children / 3 groups = 62 children in each group.
Therefore, the correct answer is option 'D' - 62 children.
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There are 200 people in a hall. They are divided equally into 7 groups...
D in the answer
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There are 200 people in a hall. They are divided equally into 7 groups of adults and 3 groups of children. If there are 2 adults in each group, then how many children are there in each group ?a)30b)60c)70d)62Correct answer is option 'D'. Can you explain this answer?
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