At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the
number of each type of shot.
There were
2-point shots and 1-point shots.

Let x be the number of 1 point shots, and y be the number of 2 point shots.

So the system is:

x+y=53

1x+2y=90

We can solve this system by substitution.

x+y=53, x=53-y

x+2y=90

53-y+2y=90

53+y=90

y=37

That means, the team made 37 two point shots.

If the team made 37 two point shots, the team scored 37 x 2, or 74 points from 2 point shots, meaning that it made 16 one  point shots.

So the correct answer is: 16 one point shots, 37 two point shots.

Let me know if this helps!

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.