Question

The rovers scored a total of 80 point in a basketball game against the bulls. The rovers made a total of 37 two-point and three-point baskets. How many of each kind of basket did the rovers make????
I need fast help!! And please show work!! Thanks!

Answer 1

Let's use a systems of equations to solve for our answers. Let's consider the amount of 2-point baskets a and the amount of 3-point baskets b.

Regarding the amount of points scored in the game, 80 points compromised some number of 2-point and 3-point baskets. Putting this into an equation, we understand that 80 = 2a + 3b.

Regarding the amount of baskets made in the game, we know that there was a total of 37 baskets made. Putting this into an equation, we get that 37 = a + b

Now, let's set up our system:
2a + 3b = 80
a + b = 37

Now, we can solve this system:
2a + 3b = 80
2a + 2b = 74
b = 6.

Given that 37 = a + b = a + 6, we know that a = 31.

Thus, the team made 31 two-point baskets and 6 three-point baskets.