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Math Help - Need Help setting up word problems

  1. #1
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    Need Help setting up word problems

    Here are a couple of word problems that are hard to for me to start. If anyone could help, it would be greatly appreciated. thanks!!

    Problem 1:
    The sum of 2 numbers is 24. If 2/5 of the larger number is equal to 2/3 the smaller number, find the numbers.

    Problem 2:
    Luis spent 1/5 of his monthly salary for rent and 1/6 of his monthly salary for his car payment. If $950 was left, what was his monthly salary?

    Thanks again!
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  2. #2
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    Quote Originally Posted by Hapa View Post
    Here are a couple of word problems that are hard to for me to start. If anyone could help, it would be greatly appreciated. thanks!!

    Problem 1:
    The sum of 2 numbers is 24. If 2/5 of the larger number is equal to 2/3 the smaller number, find the numbers.

    Problem 2:
    Luis spent 1/5 of his monthly salary for rent and 1/6 of his monthly salary for his car payment. If $950 was left, what was his monthly salary?

    Thanks again!
    Start by giving a name to the things you're trying to find.

    Problem 1. Let the two numbers be x and y.

    Problem 2. Let the salary be S.

    Now try write down some equations that relate x and y, and S.

    Then solve those equations.
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  3. #3
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    Still stumped

    Thanks for the hints, but i am still stumped.

    Problem 1:

    I tried solving using 2/5x + 2/3y = 24

    Problem 2:

    I tried 1/5S +1/6S = 950

    Doesn't look like I am doing it right.
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  4. #4
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    The sum of 2 numbers is 24. If 2/5 of the larger number is equal to 2/3 the smaller number, find the numbers.

    ok we don't know these two numbers, call them x (larger) and y (smaller).
    2/5x = 2/3y

    Now x+y=24, so x=24-y
    substitute in first equation:
    2/5*(24-y) = 2/3y
    48/5 - 2/5y = 2/3y
    48/5 = 16/15y
    y=(48/5)/(16/15)=9

    so x+9=24, so x=15

    Problem 2:
    Luis spent 1/5 of his monthly salary for rent and 1/6 of his monthly salary for his car payment. If $950 was left, what was his monthly salary?

    Well the proportion of his salary left is 1-1/5-1/6 = 19/30 and this corresponds to $950

    So monthly salary is x then:
    19/30 = 950/x
    Cross multiply and solve so
    19x = 28500
    x = 1500
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  5. #5
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    Quote Originally Posted by Hapa View Post
    Thanks for the hints, but i am still stumped.

    Problem 1:

    I tried solving using 2/5x + 2/3y = 24
    You also know "the sum of two numbers is 24". If x and y are the two numbers, how does that equation translate?

    Problem 2:

    I tried 1/5S +1/6S = 950

    Doesn't look like I am doing it right.
    The left side is the total of his rent and and car payment. But that is NOT $950. You are told that after taking those away from his salary, he has $950 left. Either 950- ((1/5)S+ (1/6)S)= 950 or (1/5)S+ (1/6)S= 950- S.

    Notice my parentheses around 1/5 and 1/6. Most people would read "1/5S" as "1/(5S)".
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