Answer:
Total number of trials is 35.
Step-by-step explanation:
Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.
To find : How many trials are in the competition?
Solution :
Probability of my winning is 3 out of 7 trials
and probability of my friend's winning is
Let there be n numbers of trials.
Therefore, my score after n trials
and my friend's score after n trials
Now, the number of trials my friend won more than me is
We know, that my friend won 5 more trials than me so comparing the actual and given we get,
Therefore, total number of trials is 35.
We can also verify our answer by placing value of n,
After 35 trials I will win trials
and my friend will win trials.
Hence, my friend won 5 more trials than me.