At a basketball game, a team made
52
successful shots. They were a combination of 1- and 2-point shots. The team scored
89
points in all. Write and solve a system of equations to find the number of each type of shot. need an answer
Let the number of 1 point shots = x
Let the numberof 2 point shots = y
So
x + y = 52
1x + 2y = 89 subtract the frist equation from the second
y = 37 = the number of 2 point shots
x + 37 =52
x = 52 - 37 = 15 = the number of 1 point shots
x = 2 pointers then
52-x = 1 pointers
2x + 1(52-x) = 89
x = 89-52 = 37 2 point shots then 52-37 = 15 1-pointers
( I guess this could be considered a 'system' of equations !)
