Autumn has $0.64 worth of pennies and nickels. She has a total of 20 pennies and nickels altogether. Determine the number of pennies and the

Question

Autumn has $0.64 worth of pennies and nickels. She has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Autumn has.

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Kylie 2 weeks 2021-09-13T21:03:26+00:00 1 Answer 0

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    2021-09-13T21:05:05+00:00

    Answer:

    Correct answer: Nickels x = 11 and pennies y = 9

    Step-by-step explanation:

    We will first define the variables in the system:

    Let be nickels x and pennies y

    We will form a system to solve this problem:

    5 x + 1 y = 64

    x + y = 20/ ยท (-1)

    we will first multiply the second equation by -1 and add it by the first and get:

    4 x = 44 โ‡’ x = 44 / 4 = 11 nickels

    x = 11 nickels

    from the other we get y

    y = 20 – x = 20 – 11 = 9 pennies

    y = 9 pennies

    God is with you!!!

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