In a certain ancient kingdom, the standard unit of measure was the “crown,” equal to 10 standard modern inches. An alter

[Vincen]

In a certain ancient kingdom, the standard unit of measure was the “crown,” equal to 10 standard modern inches. An alternative unit of measure was the “scepter,” equal to 14 standard modern inches. If a tower measured 70 crowns tall, how many scepters tall was it?

(A) 35
(B) 49
(C) 50
(D) 75
(E) 98

Answer: C

Source: Manhattan GMAT

[Scott@TargetTestPrep]

In a certain ancient kingdom, the standard unit of measure was the “crown,” equal to 10 standard modern inches. An alternative unit of measure was the “scepter,” equal to 14 standard modern inches. If a tower measured 70 crowns tall, how many scepters tall was it?

(A) 35
(B) 49
(C) 50
(D) 75
(E) 98

Answer: C

Solution:

Let’s first express the height of the tower in inches. The height of the tower in crowns is 70, thus the tower is 70 x 10 = 700 inches tall. Next, let’s convert inches to scepters. Since 1 scepter is 14 inches, the tower is 700/14 = 50 scepters tall.

Answer: C