Question

Jim's basketball team scores 97 points

in a game. The team made a total of 41
two-point and three-point baskets. How
many of each type of basket did the
team make?
A 15 two-pointers and
26 three-pointers
B 18 two-pointers and
23 three-pointers
C 23 two-pointers and
18 three-pointers
D 26 two-pointers and
15 three-pointers

Answer 1

D) 26 two-pointers and 15 three-pointers

Explanation:

x= 2 pointers

y= 3 pointers

Make a system of equations:

x=41-y

2x+3y=97

Plug In:

2(41-y)+3y=97

82+y=97

y= 15 (three point shots)

Check:

15(3)=45

97-45=52

52/2=26

x=26 (2 point shots)