Mathematics

Question

Anya makes 14 baskets during her game. some of these baskets were worth 2 points and others worth 3 points. in total, she scored 30 points. write and solve a system of equations to find how many 2 pointes baskets she made

1 Answer

  • Let the number of 2 points be x, and the number of 3 points be y.

    Therefore x + y = 14 .....(i)

    2*x + 3*y = 30 .....(ii)

    x + y = 14

    2x + 3y = 30 

    From (i),  x = 14 - y,  substitute this into (ii)

    2*(14 - y) + 3y = 30

    28 - 2y + 3y = 30

    28 + y = 30

    y = 30 - 28 = 2

    y = 2,

    x = 14 - y = 14 - 2 = 12,  x = 12.

    The number of 2 points made were 12
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