Algebra

A basketball team recently scored a total of 95 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 54 baskets and 16 more 2-pointers than foul shots. How many shots of each kind were made?

How many 1-point foul shots did the team make__?

How many 2-point field goals did the team make___?

How many 3-point field goals did the team make___?

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  1. If the 1,2,3 pointers are in amounts of x,y,z, then

    x+2y+3z = 95
    x+y+z = 54
    y = x+16

    (x,y,z) = (17,33,4)

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  2. Thank you!!

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  3. A basketball team recently scored a total of 99 points on a combination of​ 2-point field​ goals, 3-point field​ goals, and​ 1-point foul shots.​ Altogether, the team made 54 baskets and 18 more​ 2-pointers than foul shots. How many shots of each kind were​ made?
    How many​ 1-point foul shots did the team​ make?
    How many​ 2-point field goals did the team​ make?
    How many​ 3-point field goals did the team​ make?

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