Question

Each of the variables t, w, x, y, and z represents a different positive real number. Given the equations below, which of the 4 variables w, x, y, and z necessarily has the greatest value? 1.23w = t 1.01x = t 0.99y = t

Answer 1

Answer:

y has the greatest value.

Step-by-step explanation:

1.23w = t

Divide both sides by 1.23.

$w=\frac{t}{1.23}$

$w=0.813t$  --- (1)

1.01x = t

Divide both sides by 1.01.

$x=\frac{t}{1.01}$

$x=0.99t$ --- (2)

0.99y = t

Divide both sides by 0.99.

$y=\frac{t}{0.99}$

$y=1.01t$ --- (3)

From (1), (2) and (3), it is clear that y has the greatest value.