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math question and solution please?

A kid has collected 150 nickels and dimes. She has 70 more nickels than dimes. How many of each does the kid have? Show how answer is reached please.

4 Answers

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  • 1 decade ago
    Favorite Answer

    If N is nickels, and D is dimes:

    N + D = 150

    N = D + 70

    Substituing:

    (D + 70) + D = 150

    2D = 80

    D = 40

    N = 110

  • ?
    Lv 7
    1 decade ago

    n + d = 150

    n = d + 70

    (d + 70) + d = 2d + 70 = 150

    2d = 80

    d = 40

    40 dimes and 110 nickels

  • ?
    Lv 7
    1 decade ago

    150 nickels and dimes

    N+D=150

    70 more nickels than dimes

    N=D+70

    substitute for N

    (D+70)+D=150

    2D+70=150

    2D=80

    D=40

    She has 40 dimes and 110 nickels

  • Anonymous
    5 years ago

    A solution would mean the two lines intersect. Since, they are boths set equal to x, you can set the two equations equal and solve for y 2y+6=3y+10, so 6=y+10, or y=-4. Plug this into the first equation to get: 2(-4)+6=-2. Hence, they intersect at (-2,-4)

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