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Math Help - Algebric equations in worded text

  1. #1
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    Algebric equations in worded text

    I'm just having trouble trying to find the formulas, and I've left studying too late. There are a few, I won't post them all. Just wondering if there could be some hints on how to solve them, or how to find the formulas easier, when I find the formula I'm pretty much fine. I won't post them all, just a few, its a weekend and I know people won't want to help me too much .

    The sum of two natural numbers is 43. If the large number is three more than half the square of the smaller, find the numbers.

    A rectangular room is to be tiled using 750 tiles. If the room requires 5 more rows of tiles along its length than it does along its width, find the nunmber of tiles along each side of the room.

    A total of 2400 people are to be seated in a hall. The seats are arranged so that there are 50 more rows than there are seats across the hall. Find how many rows of seats are required.

    A right-angled triangle is drawn so that the hypotenuse is 8cm longer than the shortest side. If the third side is 16cm, find the dimensions of the triangle.

    If someone could work out the formulas, I'm basically fine, I just struggle finding them, thanks.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    here ya go

    Let the small nuber be x, then the big number is 3 more than half the square of the smaller [(x^2/2)+3)],

    so added together they equal 43

    x + x^2/2+3=43

    That should get ya started!
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Tiling Floors

    Let the width be x

    Let the length be x+5

    then area equals LW

    so... x(x+5)=750

    The rest is up to you!
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  4. #4
    No one in Particular VonNemo19's Avatar
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    Good old Pythagoras

    Let x be the shortest side

    Let x+8 be the hypotenuse

    SO everyone knows a^2+b^2=c^2

    So x^2+16^2=(x+8)^2

    The rest is up to you!
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  5. #5
    No one in Particular VonNemo19's Avatar
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    I think you should be able to do the third problem on your own!
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