A save percentage in lacrosse is found by dividing the number of saves by the number of shots faced. A lacrosse goalie saved 6 of 13 shots. How many additional consecutive saves s must the goalie make to raise his save percentage to 0.850?

Respuesta :

Answer:

Additional saves = 34 lacrosse.

Step-by-step explanation:

 The additional saves = s

Then , the number of saves becomes  = 6+s

and, the number of shots faced = 13+s

Save percentage in lacrosse is found by dividing the number of saves by the number of shots faced that is

[tex]\text{ percentage\ in\ lacrosse} =\frac{\text the \ number\ of \ saves}{\text the \ number of shots faced }[/tex]

[tex]\text{ percentage\ in\ lacrosse} =\frac{6+s}{13+s }[/tex]

Given , the percentage of lacrosse = 0.850

[tex]{0.850 } =\frac{6+s}{13+s }[/tex]

[tex]{0.850 \times}({13+s })=6+s[/tex]

[tex]11.05+0.850s=6+s[/tex]

[tex]11.05-6=s-0.850s[/tex]

[tex]5.05=0.15s[/tex]

[tex]s=33.66[/tex]

Since, additional saves must be an integer so round it off to the nearest integer 34.

Thus, Additional saves = 34 lacrosse.