Band members make 2/3 of their profit from selling concert tickets. they make 1/5 of their profit selling band merchandise. how many times more profit do they make from ticket sales than from merchandise sales?

The tickets make 3x more because first you have to convert fractions to the same denominator. So 2/3 goes to 10/15 and 1/5 goes to 3/15 so as you can see, the tickets make the times more

The word BALLOON has 7 characters, but only 5 letters (2 of them are repeated, L and O). The 5 letters used in the word are: B,A, L,O and N. In order to find the number of possible ways in which the letters can be arranged we need to note that:- there are 5 letters- two of them are used two times .To arrange 5 letters there are 5!=5*4*3*2*1=72 possibilities.To arrange the two O and A there are: 2!*2!=2*1*2*1=4So, there are 72/4=18 possible ways to arrange the letters in the word balloon.