Modeling—Basketball Game. The Stanford University women’s basketball team made 45 field goals in a recent game; some were 2-pointers and some were 3-pointers. How many 2-pointers were made and how many 3-pointers were made if Stanford scored 101 points?

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Modeling—Basketball Game. The Stanford University women’s basketball team made 45 field goals in a recent game; some were 2-pointers and some were 3-pointers. How many 2-pointers were made and how many 3-pointers were made if Stanford scored 101 points?

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equation formulation from the given data

Given that, The Stanford University women's basketball team made 45 field goals, some were 2-points and some were 3points. Let they made x-number of 2-points and y-number of 3-points.

So, we can write, x+y=45 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)

Again, points gain from 2-points is 2*x

and point gain from 3-poitns is 3*y

i.e.-total point=2*x + 3*y

Given that Stanford scored 101 points, so 2x+3y=101. . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . . . .(2)

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