Bunuel wrote:
A computer store sells two sizes of laptops, 13-inch and 15-inch. During a typical week, the store sells two 13-inch laptops for every 15-inch laptop. However, during the holiday season, the number of 13-inch laptops sold decreases by 50 percent, and the number of 15-inch laptops sold triples. If the store sells 600 laptops per week during the holiday season, how many more 15-inch laptops than 13-inch laptops are sold?
A. 100
B. 150
C. 200
D. 300
E. 400
During a TYPICAL week, the store sells two 13-inch laptops for every 15-inch laptop.Let
x = the number of 15-inch laptops TYPICALLY sold each week
So,
2x = the number of 13-inch laptops TYPICALLY sold each week
However, during the HOLIDAY season, the number of 13-inch laptops sold decreases by 50 percent, and the number of 15-inch laptops sold triples.So, 50% of
2x = the number of 13-inch laptops sold each week during the HOLIDAYS
In other words,
x = the number of 13-inch laptops sold each week during the HOLIDAYS
Also, (3)(
x) = = the number of 15-inch laptops sold each week during the HOLIDAYS
If the store sells 600 laptops per week during the holiday season...We can write:
x + (3)(
x) = 600
Simplify: 4x = 600
Solve: x = 150
Since
x = the number of 13-inch laptops sold each week during the HOLIDAYS, we know that 150 13-inch laptops were sold each week during the HOLIDAYS
600 - 150 = 450, so 450 15-inch laptops were sold each week during the HOLIDAYS
....how many more 15-inch laptops than 13-inch laptops are sold?450 - 150 = 300
Answer: D
Cheers,
Brent
_________________
A focused approach to GMAT mastery