Question

The CHS basketball team scored a total of 70 points in their last game. They made 25 total shots. Some of the shots were worth two points and some of the shots were
three-pointers. No free throws were shot. How many shots of each type did they
make?
Write a system of equations to model the situation

Answer 1

Given :

The CHS basketball team scored a total of 70 points in their last game. They made 25 total shots. Some of the shots were worth two points and some of the shots were  three-pointers.

To Find :

A system of equations to model the situation.

Solution :

Let, number of two pointer shots are x and three pointers are y.

So, x + y = 25    .......1)

Total points scored , S = 70.

$2x+3y=70$      .......2)

Solving equation 1 and 2 , we get :

$2x+3(25-x)=70\\\\x=5$

y = 25 - 5 =20

Therefore, total numbers of two and three pointers are 5 and 20 respectively.

Hence, this is the required solution.