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The wildcats basketball team scored 18 points in the first half of the game. All the planes came from either two or three point baskets. If a total of eight shots were made (some two pointers and some three pointers), how many of each type of shot were made

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nicole1010101
3 two pointers and 4 three pointers

Answer:

The number of two pointers made are: 6

and the number of three pointers made are: 2

Step-by-step explanation:

Let the number of two pointers be : x

and the number of three pointers be : y.

The wildcats basketball team scored 18 points in the first half of the game.

This means that:

  2x+3y=18-------(1)

Also, a total of eight shots were made.

This means that:

x+y=8

i.e.

x=8-y--------(2)

On putting equation (2) in equation (1) we have:

2(8-y)+3y=18

16-2y+3y=18

16+y=18

y=18-16

i.e.

                  y=2

On putting the value of y in equation (2) we have:

  x=8-2

i.e.

          x=6

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