Question 1) Cam would like to spend some of his money on friends. Of the $350$ dollar budget he was given, he has to spend $75.00$ dollars on office supplies, $10.00$ dollars per person for an entrance fee to the concert that his top $3$ friends and himself will attend later this month, and $17.00$ dollars for pizza for his lunch tomorrow. How much money does that leave for me to spend on each of his $12$ friends?
A) $16.17$ B) $18.17$ C) $19.16$ D) $20.00$ E) $218.00$
I added $(75)+(10*4)(17)=132$
Then $350-132=218$ which would give us E) $218.00$
I thought about it said each of his friends. Does that mean $218.00/12=18.17$ which would give us B) $18.17$
I wanted to know is there an easy way to think about this and what would be the answer. Can someone please help me?
Question 2) If you increase your current score of $85%$ by $7%$, what score will you have?
A) $90.5$ B) $90.85$ C) $90.95$ D) $91%$ E) $91.25$
I added $(0.85) + 7%$ which gave me $90.95$ percent. I wanted to know if this answer is correct.
Question 1. He spends more on the three friends then he does on the other 9. he spends 30 dollars on them. On top we have he spends 75 dollars + 17 dollars on himself. So we have the budjet for each friend to be $((350-75-17-30)/12)=19$, but remember that 3 of his 12 friends receive an extra 10 dollars so each friend receives $(3*29+9*19)/12=21.5$ dollars on average. Since these are neither of the options I would go with B and state the question is not well stated it is unkown who he spends the 75 or 17 dollars on.
Question 2. the proper way to do this is $(.85)*(1.07)=90.95$ i.e. current probability times the probability gained.