Question

Wilt Chamberlin holds the record for the highest number of points scored in a single NBA basketball game. Chamberlin scored 100 points for Philadelphia against the New York Knicks on March 2, 1962. Chamberlain made a total of 64 baskets consisting of field goals (worth 2 points) and foulshots (worth 1 point). Find the number of field goals and the number of foul shots that chamberlain mad

Answer 1

Answer:

field goals = 36,  foul shots = 28.

Step-by-step explanation:

Given:

Chamberlin scored 100 points.

Chamberlain made a total of 64 baskets consisting of field goals and foulshots.

Each field goal worth = 2 points

Each foulshot  worth =  1 points

Question asked:

Find the number of field goals and the number of foul shots that chamberlain made ?

Solution:

Let number of field goals = $x$

As total of 64 baskets, he made:

Then number of foul shots = $64-x$

Now, total points, he scored is given 100,

Number of field goals $\times$ 2 + Number of foul shots $\times$ 1 = 100

$x\times2+(64-x)\times1=100\\2x+64-x=100\\x+64=100$

Subtracting both sides by 64

$x+64-64=100-64\\x=36$

Number of field goals = $x$ = 36

Then number of foul shots = $64-x$ = 64 - 36 = 28

Therefore, 36 field goals and 28 foul shots made by chamberlain.