If devin has 3 times as many nickels as quarters and they have a combined value of 200 cents how many of each coin does he have

Question

If devin has 3 times as many nickels as quarters and they have a combined value of 200 cents how many of each coin does he have

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Vivian 2 weeks 2021-09-12T06:06:44+00:00 1 Answer 0

Answers ( )

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    2021-09-12T06:08:04+00:00

    Devin has 15 nickel coins and 5 quarter coins.

    Step-by-step explanation:

    Total worth = 200 cents

    1 nickel = 5 cents

    1 quarter = 25 cents

    Let,

    Nickels = x

    Quarters = y

    According to given statement;

    5x+25y=200    Eqn 1

    x = 3y    Eqn 2

    Putting x=3y in Eqn 1

    5(3y)+25y=200\\15y+25y=200\\40y=200

    Dividing both sides by 40

    \frac{40y}{40}=\frac{200}{40}\\y=5

    Putting y=5 in Eqn 2

    x=3(5)\\x=15

    Devin has 15 nickel coins and 5 quarter coins.

    Keywords: linear equation, substitution method

    Learn more about substitution method at:

    • brainly.com/question/4034547
    • brainly.com/question/4054269

    #LearnwithBrainly

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