Answer:
The team needs to win 15 races today.
Step-by-step explanation:
The team has completed 45 races so far and has won 30 so far.
The current success rate is
[tex]r = \frac{30}{45} * 100\% = 66.7\%[/tex]
We need this success rate to be 75%
Then the team must win a number x of races such that
[tex]r = \frac{30 + x}{45 + x} = 0.75[/tex]
Now we solve the equation for x.
[tex]\frac{30 + x}{45 + x} = 0.75\\\\30 + x=0.75(45 +x)\\\\30 + x=0.75(45) +0.75x\\\\x- 0.75x = 33.75-30\\\\0.25x = 3.75\\\\x= \frac{3.75}{0.25}\\\\x=15[/tex]
Finally the team need to win 15 carreras today
