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Thread: Practice Test Problems- Can you help?

  1. #1
    Junior Member
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    Wink Practice Test Problems- Can you help?

    I have a few practice problems that I would like solved so I can see how to do them. If you can help I will be so grateful!!

    1. The sum of three consecutive integers is 201. Find the integers.

    2. The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52cm find the dimensions of the rectangle.

    3. Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?

    These are just practice and I need to see how they are done so that I understand how to do them. My test is tommorow so any help before then will be appreciated. I thank you all dearly. Hope to hear from some of you soon!!!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by foofergutierrez
    I have a few practice problems that I would like solved so I can see how to do them. If you can help I will be so grateful!!

    1. The sum of three consecutive integers is 201. Find the integers.
    Let the middle integer be $\displaystyle x$ then the sum of the three integers
    is:

    $\displaystyle
    (x-1)+x+(x+1)=201
    $

    rearranging:

    $\displaystyle
    3x=201
    $,

    so $\displaystyle x=67$.

    RonL
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by foofergutierrez
    2. The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52cm find the dimensions of the rectangle.

    Let the width of the rectangle be $\displaystyle w$, then the length is $\displaystyle l=2w+2$.

    The perimiter is:

    $\displaystyle
    2w+2l=2w+4w+4=52
    $.

    So we have the following equation for $\displaystyle w$ to solve:

    $\displaystyle
    6w+4=52
    $

    RpnL
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by foofergutierrez
    3. Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?
    Let the number of tens be $\displaystyle t$ and the number of fives be $\displaystyle f$.

    Then the first condition in the problem tells us that $\displaystyle t+f=12$ (total of 12 bills).

    The second condition tells us that:

    $\displaystyle
    5f+10t=100
    $

    (total value of the bills), now divide through by 2 to get:

    $\displaystyle
    f+2t=20
    $

    which leaves you with a pair of simultaneous equations to solve:

    $\displaystyle
    {f+t=12 \atop f+2t=20}
    $

    RonL
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