Hi j_shreyans,
This question is loaded with little details. You'll need to take lots of notes, stay organized and do some basic math to get the correct answer.
We're told that there are two types of tiles: REGULAR and JUMBO.
Now come all of the little math facts you have to take note of (and deduce).....
1) 1/3 of the tiles are JUMBO tiles.
Since 1/3 are JUMBO, the other 2/3 are REGULAR.
This means that the ratio of JUMBO:REGULAR = 1:2; in other words, there are twice as many REGULAR tiles as JUMBO tiles.
2) JUMBO tiles have a length that is 3 TIMES that of the REGULAR tiles AND has the same ratio of length:width as the REGULAR tiles.
We'll come back to this information in a moment.
3) REGULAR tiles cover 80 square-feet of the wall.
Since we weren't given any information about the dimensions of the REGULAR tiles, we can TEST VALUES. Let's say....
1 REGULAR tile = 1ft x 1ft.
Since REGULAR tiles cover 80 square feet, that means there are 80 REGULAR tiles.
Now, let's go back to the 2nd piece of information.....
JUMBO TILES have 3 times the length and the same ratio of length:width as REGULAR tiles.
1 REGULAR tile = 1ft x 1ft.
1 JUMBO tile = 3ft x 3ft.
NOW, let's go back to the 1st piece of information.....
The ratio of JUMBO:REGULAR = 1:2
80 REGULAR tiles (each 1ft x 1ft)
40 JUMBO tiles (each 3ft x 3ft).
Total area of the wall = 80(1)(1) + 40(3)(3) = 80 + 360 = 440 square feet
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
