Problema Solution
In a basketball league, 2 points are awarded for every shot made and 3 points are deducted for every shot missed. In one game, Ivy took 40 shots but scored 0 points. How many shots did she make? How many did she miss?
Answer provided by our tutors
let
x = the number of shots made
y = the number of shots missed
Ivy took 40 shots:
x + y = 40
2 points are awarded for every shot made and 3 points are deducted for every shot missed and Ivy scored 0 points:
2x - 3y = 0
by solving the system of equations:
x + y = 40
2x - 3y = 0
we find
x = 24 shots made
y = 16 shots missed
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Ivy had 24 successful shots and she missed 16 shots.