Carcass 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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math Book 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