Question

The tennis team has played 28 matches so far this season. They have won 10 matches so far. How many matches will the team need to win for the team to have a 55% success rate?

Answer 1

x = 12 (I took the FLVS assignment for 04.04, and I'll show you guys how to do this!)

Explanation:

The team has completed 28 matches so far and has won 10 of them.

The current success rate is:

`r=(10)/(28) *1.00=.35714`

(1.00 = 100% and .35714 = 35.714%)

We need the success rate to be 55%

Then the team must win a number of "x" matches, so:

`r=(10+x)/(28+x) =0.55`

Now we solve the equation for x:

`(10+x)/(28+x) =0.55`

`10+x=0.55(28+x)`(distributive property here!)

`10+x=15.4+0.55x`

Now, move the 0.55x to the other side by subtracting it from both sides:

`10+x-0.55x=15.4`

And move the 10 by doing the same thing (subtracting from both sides):

`x-0.55x=15.4-10`

`0.45x=5.4`

(You might ask: 15.4 - 10 = 5.4, but how do you get 0.45x out of x - 0.55x? Use Quick Math, and you should get the answer!)

`x=(5.4)/(0.45)`

`x = 12`

So, by following these steps, x = 12 is your answer!

The team must win 12 matches to have a success rate of 55%.

Hope this helps! Have a wonderful day!

Answer 2

Answer: they would have to win 22/40 games

Explanation:

22 divided by 40 is 0.55 or 55%