You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how many trials are in the competition?

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.

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angle addition postulate

2x=56

step-by-step explanation: