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Math Help - Basic Algebra Word Problems (I got a few)

  1. #1
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    Basic Algebra Word Problems (I got a few)

    1. One-sixth of the sum of a certain number plus ten is equal to one-quarter of the number. What is it?

    2. Find a number such that if it is multiplied by seven and eight is then added to the result, the new sum will be equal to eight times the original number.


    thanks for ur help guys im doing this because I want to learn how to do it.
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by NemesysEvolved View Post
    1. One-sixth of the sum of a certain number plus ten is equal to one-quarter of the number. What is it?
    Call the number x. Then \frac{x+10}{6} = \frac{x}{4}

    \frac{x+10}{6} = \frac{x}{4} <-- Multiply both sides by 12.

    2(x + 10) = 3x

    2x + 20 = 3x

    20 = x

    So x = 20.

    -Dan
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by NemesysEvolved View Post
    2. Find a number such that if it is multiplied by seven and eight is then added to the result, the new sum will be equal to eight times the original number.
    Call the number x. Then
    7x + 8 = 8x

    x = 8

    -Dan
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    Quote Originally Posted by NemesysEvolved View Post
    1. One-sixth of the sum of a certain number plus ten is equal to one-quarter of the number. What is it?

    2. Find a number such that if it is multiplied by seven and eight is then added to the result, the new sum will be equal to eight times the original number.


    thanks for ur help guys im doing this because I want to learn how to do it.
    1. 1/6(x+10)=x/4

    multiply by 24

    4(x+10)=6x
    4x+40=6x
    remove 4x from both sides
    40=2x
    both sides divided by 2
    x=20 is answer

    2. let x is the number
    7x + 8 = 8x
    remove 7x from both sides
    8=x
    answer is 8
    - R.Mangalesh
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