Question

A basketball team scored 105 points during one game. There were as many two-point baskets as free throws (1 point each), and the number of three-point baskets was five less than the number of free throws. Find the number of three-point baskets.

Answer 1

The number of three-point baskets from the substitution method is 15.

According to the statement

we have given that the total score of basket ball is 105 points and there were as many two-point baskets as free throws (1 point each), and the number of three-point baskets was five less than the number of free throws.

And we have to find the number of three-point baskets.

So, For this purpose, we know that the

Final Score S = 105

Two point baskets T = Free throws F  -(1)

Three point baskets H = F - 5  -(2)  

Now, we know that the

The final score is equal to 3 times the number of three point baskets plus 2 times the number of two point baskets plus 1 times the number of free throws

So,

S = (3*H) + (2*T) + (1*F)  

Here we can use substitution method,

Now we can substitute

105 = 3H + 2T + 1F

105 = 3H + 2F + 1F   {substitute from equation (1)}

105 = 3(F-5} + 2F + 1F  {substitute from equation (2)}

105 =  3F -15 + 2F + 1F

105 =  6F - 15

120 = 6F

F =20

Now that we get the value of F, now we can substitute into Eqn 2 to find H

H = F -5

H = 20 - 5

H = 15

So, The number of three-point baskets from the substitution method is 15.

Learn more about numbers here

brainly.com/question/9462805

#SPJ4

Answer 2

Answer: The number of three-point baskets from the substitution method is 15!