Question

Marlene is solving a number puzzle involving three rational numbers a, b, and c. Here are her clues:
The quotient of a and c is 8.
The product of a and c is 2.
The quotient of a and b is -16.
The product of a and b is -1.
The quotient of b and c is -0.5.

Answer 1

a/c = 8.....a = 8c
a * c = 2 ...a = 2/c
a/b = -16 ...a = -16b
a * b = -1....
b/c = -0.5

2/c = 8c
2 = 8c^2
1/4 = c^2
sqrt 1/4 = c
0.5 (or 1/2) = c <===

a * c = 2
0.5a = 2
a = 2/0.5
a = 4 <===

a = -16b
4 = -16b
4/-16 = b
-1/4 (or - 0.25) = b <===