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Kisachek [45]
3 years ago
11

In basketball there are 1,2, and 3 point shots. In the last game sarah scored a total of 25 points by making 13 total baskets. S

he made twice as many 2 point shots as she did 3 point shots. How many of each type of shot did she make?
Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

3 , 6 , 4

Step-by-step explanation:

Given:

There are three groups of shots in basketball.

First group carry = 1 point

Second group carry = 2 points

Third group carry = 3 points

Sarah scored a total of 25 points by making 13 total baskets.

She made twice as many 2 point shots as she did 3 point shots.

Question asked:

How many of each type of shot did she make ?

Solution:

Let number of baskets, she made which carry 3 points = x

Then, number of baskets, she made which carry 2 points = 2x

Total number of baskets, she made = 13

Then, number of baskets, she made which carry 1 points = 13-(x+2x)=13-3x

Now,

Sarah scored a total number of points = 25

3\times x+2\times2x+1(13-3x)=25\\3x+4x+13-3x=25\\4x+13=25

Subtracting both sides by 13

4x=25-13\\4x=12

Dividing both sides by 4

x=3

By substituting the value:-

Number of baskets, she made which carry 3 points = x = 3

Number of baskets, she made which carry 2 points = 2x = 2\times3=6

Number of baskets, she made which carry 1 points = 13-3x=13-3\times3=13-9=4

Thus, she made 3 baskets of 3 points, 6 baskets of 2 points and 4 baskets of 1 point.

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