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Math Help - Practice Test Problems- Can you help?

  1. #1
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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
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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 x then the sum of the three integers
    is:

    <br />
(x-1)+x+(x+1)=201<br />

    rearranging:

    <br />
3x=201<br />
,

    so x=67.

    RonL
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  3. #3
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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 w, then the length is l=2w+2.

    The perimiter is:

    <br />
2w+2l=2w+4w+4=52<br />
.

    So we have the following equation for w to solve:

    <br />
6w+4=52<br />

    RpnL
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  4. #4
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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 t and the number of fives be f.

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

    The second condition tells us that:

    <br />
5f+10t=100<br />

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

    <br />
f+2t=20<br />

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

    <br />
{f+t=12 \atop f+2t=20}<br />

    RonL
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