Answer:
He throws 7 passes
Step-by-step explanation:
say he throws x more completed passes.
62.5% = 5/8. So, counting up all the completions, we must have
18 + x = 5/8 (33+x)
He total completes:
18 passes during the first three quarters and x passes
during the fourth quarter = 18 + x passe
He total make:
33 throws during the first three quarters and x throws
during the first the fourth quarter = 33 + x
62.5 % = 62.5 / 100 = 0.625
Proportion is:
( 18 + x ) / ( 33 + x ) = 0.625
Multiply both sides by 33 + x
18 + x = ( 33 + x ) ∙ 0.625
18 + x = 33 ∙ 0.625 + x ∙ 0.625
18 + x = 20.625 + 0.625 x
Subtract 18 to both sides
18 + x - 18 = 20.625 + 0.625 x - 18
x = 2.625 + 0.625 x
Subtract 0.625 x to both sides
x - 0.625 x = 2.625 + 0.625 x - 0.625
0.375 x = 2.625
Divide both sides by 0.375
x = 2.625 / 0.375 = 7
In the fourth quarter throw 7 passes.
Proof:
( 18 + 7 ) / ( 33 + 7 ) = 25 / 40 = 0.625 = 62.5 %
