A quarterback completes 18 of 33 passes during the first three quarters of a football game. He completes every pass in the fourth quarter and 62.5% of his passes for the entire game. How many passes does the quarterback throw in the fourth quarter?
He total completes:
18 passes during the first three quarters and x passes
during the fourth quarter = 18 + x passes
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 %
please help me
To find out how many passes the quarterback throws in the fourth quarter, we need to use the information given.
First, let's determine the total number of passes attempted in the first three quarters. The quarterback completes 18 of 33 passes, so the number of incomplete passes is 33 - 18 = 15.
Therefore, the quarterback attempts a total of 33 passes in the first three quarters.
To calculate the percentage of passes completed for the entire game, we need to consider both the first three quarters and the fourth quarter.
Let's assume the number of passes attempted in the fourth quarter is x. Since the quarterback completes every pass in the fourth quarter, the number of completed passes in the fourth quarter is also x.
Now, we can calculate the total number of passes attempted for the entire game by adding the passes attempted in the first three quarters and the fourth quarter: 33 (passes in first three quarters) + x (passes in the fourth quarter) = 33 + x.
We are given that the quarterback completes 62.5% of his passes for the entire game, which means the number of completed passes is 62.5% of the total number of passes attempted.
Rewriting this mathematically, we have: 0.625 * (33 + x) = x.
Simplifying the equation, we have: 20.625 + 0.625x = x.
Now, we can solve for x: 20.625 = 0.375x.
Dividing both sides of the equation by 0.375, we get x = 55.
Therefore, the quarterback throws 55 passes in the fourth quarter.
FootIzCool
asdsad
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)