Ask Question
6 January, 19:52

The average weight of a group of children is 100 pounds. Todd, who weighs 102 pounds, then joins the group. This raises the average weight of the group to 102 pounds. How many children were in the original group?

+4
Answers (2)
  1. 6 January, 19:55
    0
    It's 0/202 plus it = x
  2. 6 January, 20:13
    0
    First create your let statements to represent the unknown.

    1. We don't know how many children are in the group, so let us make that amount be equal to x.

    2. We also don't know the weight of the individual children, let us make that number be equal to y.

    Now in order to find the average of anything, you add the total and then divide it by the number of things we are averaging.

    We know the average so we can make this statement.

    x/y = 100

    ...

    We must isolate y to find the weight of the individual children, this gives us this:

    y=100x

    Now we must add Todd to our new equation

    y+102/x+1 = 102

    Let me explain the above, the reason why we add 102 to the unknown weight of the children is because that is the added weight.

    The reason why we add 1 to x is because 1, adds to the unknown number of children.

    We will sub in the weight of the average children as 100, this will replace y.

    You get this so far:

    100x+102/x+1 = 102

    Now we solve to get x

    The end answer is 0/202 = x when you isolate so, I believe you have a typo.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The average weight of a group of children is 100 pounds. Todd, who weighs 102 pounds, then joins the group. This raises the average weight ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers