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    Exclamation verbal problem

    How do I make an equation for this? I always have trouble with these

    Jose has a total of 28 dimes and quarters altogether. The total value of the coins is $4.15. How many quarters does Jose have?
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by cristinaivelisse View Post
    How do I make an equation for this? I always have trouble with these

    Jose has a total of 28 dimes and quarters altogether. The total value of the coins is $4.15. How many quarters does Jose have?
    Let x be the number of dimes and let y be the number of quarters:

    Then x + y = 28 ................................(1)

    since he has the amount in dollars, try to write x and y in terms of dollars:

    so,

    \frac{x}{10} + \frac{y}{4} = 4.15....................(2)

    (2) can be simplified as:

     \frac{4x+10y}{40} = 4.15 \Longrightarrow  4x+10y = 166....................(3)

    Note that the denominators in the above equation(2) denotes the number of coins that make a dollar. 10 dimes = $1 and 4 quarters = $1

    Now can you solve equations (1) and (3) for the values of x and y???

    you will have

    19 dimes

    9 quarters
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