Problema Solution

In the basketball league Ivy belongs to, 2 ponts are awarded for every shot made and 3 points ar 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 Ivy made

y = the number of shots Ivy missed


Ivy took 40 shots


x + y = 40


but she scored 0


2x - 3y = 0


by solving the system of equations


x + y = 40

2x - 3y = 0


we find


x = 24 shots


y = 16 shots


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Ivy made 24 shots but missed 16 shots.