Suppose 4 r = 3 s = 10 t, where r, s, and t are positive integers. What is the sum of the least values of r, s, and t for which this equality is true?
A)7
B)17
C)41
D)82
E)120

Question

Quizplus · Accepted Answer

To find the least values of r, s, and t, we need to find a common multiple of the coefficients 4, 3, and 10. The least common multiple (LCM) of 4, 3, and 10 is 60. Setting 4r = 60, 3s = 60, and 10t = 60 gives r = 15, s = 20, and t = 6. The sum of these values is 15 + 20 + 6 = 41.

Suppose 4 R = 3 S = 10 T, Where