Question

During a basketball game, Adam made 19 baskets. Some were 2-pointers and some were 3-pointers. He totaled 40 points. How many 3-pointers did he make?

Answer 1

5

Step-by-step explanation:

5x3=15 2x2=4 15+4=19

Answer 2

Adam made 2 three-pointers.

Step-by-step explanation:

Let's use a system of equations to solve this problem. Let x be the number of 2-pointers Adam made, and y be the number of 3-pointers he made. Then we have:

x + y = 19 (since Adam made 19 baskets in total)

2x + 3y = 40 (since Adam's baskets totaled 40 points)

To solve for y, we can use the first equation to express x in terms of y: x = 19 - y. Substituting this into the second equation, we get:

2(19 - y) + 3y = 40

Simplifying, we get:

38 - 2y + 3y = 40

y = 2

Therefore, Adam made 2 3-pointers.