number of two-pointers ---- x
number of three-pointers ---- y
x+y = 25 ----> y = 25-x
19x + 6y = 54
19x + 6(25-x) = 54
19x - 6x = 54 - 150
13x = -96
which is not a whole number, Pisano is wrong
or
we could have used common sense:
19 two-pointers would be 38 points
6 three-pointers would be 18 points
and 38+18 ≠ 54
The Parkside basketball team scored 54 points out of two-point and three-point shots (ignoring free throws for this problem). Parkside scored 25 baskets of these two types. Ms. Pisano reasons that Parkside must have scored 6 three’s and 19 two’s. Is Ms. Pisano correct? Explain. (Solve the system and see if she is right!)
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