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

y has the greatest value.

Explanation:

1.23w = t

Divide both sides by 1.23.

`w=(t)/(1.23)`

`w=0.813t` --- (1)

1.01x = t

Divide both sides by 1.01.

`x=(t)/(1.01)`

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

0.99y = t

Divide both sides by 0.99.

`y=(t)/(0.99)`

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

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