simplify: (75x^3 y / 3x^5 y^3) ^3/2

3500 tickets were sold at the carnival. Adult tickers are $35 each and the children's are $20 each. A profit of 10% adult tickets were made and a profit of 5% children tickets. A total profit of $620 was made. Write 2 equations that represent this scenario.

Please help very urgent thanks ALOT !!!

2 answers

first, I'd simplify the inside:

75x^3y/3x^5y^3 = 15/x^2y^2

Now just multiply exponents by 3/2 and you have

15√15 / x^3y^3

for the tickets,
a+c = 3500
.10(35x) + .05(20y) = 620
Thank you so much, god bless u