Question

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. She made twice as many 2 point shots as she did 3 point shots. How many of each type of shot did she make?

Answer 1

3 , 6 , 4

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* x+2*2x+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*3=6`

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

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