If x, y, and z are positive integers and 3x = 5y = 8z, then the least possible value of x + y + z is Choose the correct choice.
A) 45 B) 79 C) 50 D) 55 E) 60
given 3x=5y=8z   x+y+z in terms of x   = x+(3x/5)+(3x/8) = 79x/40   now checking with each of the answers and see which value gives a minimum integer value.   A x = 40/79*45 , not an integer   C,D,E can be ruled out similarly.   79 is minimum value as x = 79*40/79 = 79   Answer is 79
<result>B</result>
If x, y, and z are positive integers and 3x = 5y = 8z, then the least possible value of x + y + z is