Question

In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. if there were 45 baskets in a game and 96 points total, how many regular baskets r and long-distance baskets l were made

Answer 1

Let
x: number of regular basketball
y: number of long-distance basket
We have the following system of equations:
2x + 3y = 96
x + y = 45
Solving the system we have
y = 45-x
2x + 3 (45-x) = 96
2x +135 -3x = 96
-x = 96 -135
x = 39
Then,
y = 45-x
y = 45-39
y = 6
answer
were made
regular baskets = 39
long-distance baskets = 6