Professional basketball player Wilt Chamberlain once scored 100 points in a single game, from a total of 64 shots made. Some of these shots were field goals worth 2 pts each and some were free throws worth 1 pt each (sorry, no 3 point shots in Wilt's time). Set up and solve a system of equations to find out how many field goals and how many free throws Wilt made.

Step-by-step explanation:

Let the shots that were field goals be x

Let the shots that were free throws be y

If the total shots were 64, then:

x+y = 64 1

If some of these shots were field goals worth 2 pts each and some were free throws worth 1 pt each, then the equation relating total number of points is:

2x + y = 1002

Solve 1 and 2 simultaneously:

x+y = 64 1

2x + y = 1002

Subtract both equations:

x - 2x = 64-100

-x = -36

x = 36

Substitute x= 36 into equation 1:

x+y = 64

36+y = 64

y = 64 - 36

y = 28

Hence Wilt made 36 field goals and 28 free throws

to complete this square you have to rotate about the origin 270 degrees clockwise.

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.