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4th grade

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Bobby has only pennies, dimes, and quarters. One half of Bobby's coins are pennies. One fourth of his coins are quarters. Three of his coins are dimes. How many coins does Bobby have?

please help me figure this one out?

  • 4th grade -

    Bobby has 12 coins.

    he has 3 dimes, 6 pennies, and 3 quarters

  • 4th grade-math -

    How did you get your answer? Please explain it to me?

  • 4th grade -

    i used the equation: 1/2x+1/4x+3=x

    then add 1/2x and 1/4x: 3/4x+3=x

    then subtract 3/4x on both sides:3=1/4x

    then divide by 1/4x: 12=x

    -12 coins is the answer :)

  • 4th grade -

    1/2 + 1/4 = 3/4
    so 3/4 of his coins must be made up of pennies and quarters.
    so that means the remaining 1/4 must be dimes
    But we know that he has 3 dimes

    think this way: 1/4 of what number is 3 ?
    3 divided by 1/4 is .... ?

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