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Math Help - Pennies and nickels

  1. #1
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    Pennies and nickels

    Hello all,

    It is time for some more help, please.

    Pennies and nickels. Wendy has 52 coins consisting of nickels and pennies. If the value of the coins is $1.20, then how many of each type does she have?

    I am looking for help with the equation to figure this out. If I can get help finding the equation, I feel I can solve the problem. Your help is appreciated.
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  2. #2
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    To learn how to set up and solve this sort of exercise, try here.

    Then:

    . . .coins:
    . . . . .nickels: n
    . . . . .pennies: 55 - n

    . . .value:
    . . . . .nickels: 5n
    . . . . .pennies: ??

    Complete the table. Sum the "value" expressions. Set the result equal to the given value. Solve the resulting equation for the variable. Back-solve for the required numbers.
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  3. #3
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    Quote Originally Posted by stapel View Post
    To learn how to set up and solve this sort of exercise, try here.

    Then:

    . . .coins:
    . . . . .nickels: n
    . . . . .pennies: 55 - n

    . . .value:
    . . . . .nickels: 5n
    . . . . .pennies: ??

    Complete the table. Sum the "value" expressions. Set the result equal to the given value. Solve the resulting equation for the variable. Back-solve for the required numbers.
    Thank you. I created a table based off the link you provided. The outcome of the table was this:
    5N+1(52-N)=120
    5N+52-N=120
    5N-N+52-52=120-52
    4N=68
    N=17 (17 nickels)

    Pennies = P=52-17
    P=35 (35 pennies)

    Verified by calculating 17*5+35=120

    Does this all look correct?
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  4. #4
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    If your solution "checks" (and you've already verified that it does), then your answer is correct. Good job!
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  5. #5
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    Quote Originally Posted by stapel View Post
    If your solution "checks" (and you've already verified that it does), then your answer is correct. Good job!
    Thank you.
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