Answer :
Answer:
Tony make 4 half-court shots and misses 16 half-court shots.
Step-by-step explanation:
Given:
Points earned for every successful, half-court shots = [tex]20[/tex]
Points deducted for missing the shots = [tex]5[/tex] or [tex]-5[/tex]
Total number of shots in the game = [tex]20[/tex]
Final points earned by Tony = [tex]0[/tex]
According to the question:
Let the number of successful half-court shot be [tex]x[/tex]
And the number of shots missed be [tex]20-x[/tex]
So,
In terms of points we can re-write it as:
⇒ [tex]20(x)-5(20-x) =0[/tex]
⇒ [tex]20x-100+5x=0[/tex]
⇒ [tex]25x-100=0[/tex]
⇒ [tex]25x-100+100=100[/tex]
⇒ [tex]25x=100[/tex]
⇒ [tex]\frac{25x}{25} =\frac{100}{25}[/tex]
⇒ [tex]x=\frac{100}{25}[/tex]
⇒ [tex]x=4[/tex]
Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16