Question

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?

Answer 1

Additional saves = 34 lacrosse.

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

`\text{ percentage\ in\ lacrosse} =(\text the \ number\ of \ saves)/(\text the \ number of shots faced )`

`\text{ percentage\ in\ lacrosse} =(6+s)/(13+s )`

Given , the percentage of lacrosse = 0.850

`{0.850 } =(6+s)/(13+s )`

`{0.850 *}({13+s })=6+s`

`11.05+0.850s=6+s`

`11.05-6=s-0.850s`

`5.05=0.15s`

`s=33.66`

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

Thus, Additional saves = 34 lacrosse.