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  1. #1
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    Question Algebra help

    yeah I have a few problems that i can't solve. help..

    Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 hours. How quickly can all three fill the pool together?

    What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?

    Two angles of a triangle measure 15 and 85 . What is the measure for the third angle?
    thanks
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  2. #2
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    Quote Originally Posted by angel123 View Post
    yeah I have a few problems that i can't solve. help..

    Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 hours. How quickly can all three fill the pool together?

    [snip]
    Sue fills 2/3 of a pool in 30 minutes and Tony fills 1/3 of a pool in 30 minutes. Therefore Sue + Tony = 1 Jim.

    So you effectively have two Jims filling the pool. And if one Jim can fill the pool in 30 minutes, two Jims can fill it in ......
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  3. #3
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    Quote Originally Posted by angel123 View Post
    [snip]Two angles of a triangle measure 15 and 85 . What is the measure for the third angle?
    thanks
    Did you know that the sum of the angles in a triangle is 180 degrees ......?
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  4. #4
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    Quote Originally Posted by angel123 View Post
    [snip]
    What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?

    [snip]
    What formula have you been taught for simple interest ....?
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  5. #5
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    Word problems

    Hello angel123
    Quote Originally Posted by angel123 View Post
    Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 hours. How quickly can all three fill the pool together?
    In one minute, Jim fills 1/30th of the pool; Sue fills 1/45 and Tony 1/90. So in one minute all three together fill

    \frac{1}{30} +\frac{1}{45} + \frac{1}{90} of the pool

    = \frac{3 + 2 + 1}{90} = \frac{6}{90} = \frac{1}{15}

    So it would take 15 minutes to fill.

    Quote Originally Posted by angel123 View Post
    What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?
    The simple interest formula is

    I=\frac{PRT}{100}

    where P is the principal, R is the annual % rate of interest and T is the time in years. You know I, P and T in this question. So plug them into the formula, and solve the equation for R. Can you do that?

    Quote Originally Posted by angel123 View Post
    Two angles of a triangle measure 15 and 85 . What is the measure for the third angle?
    The angles of any triangle add up to 180.

    Grandad
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