Question

Adam bought three laptops for his office at a total cost of $1,300. The shopkeeper tried to sell Adam some upgrades and accessories that would have doubled the price of the first laptop and tripled the price of the third laptop, increasing the total cost to $2,400. Adam declined to buy the upgrades and accessories as he had already spent a lot on the first laptop, in fact $100 more than the combined price of the second and third laptops. What are the original individual prices of the three laptops?
A.
first laptop: $700
second laptop: $400
third laptop: $200
B.
first laptop: $700
second laptop: $200
third laptop: $400
C.
first laptop: $650
second laptop: $250
third laptop: $400
D.
first laptop: $650
second laptop: $200
third laptop: $450
E.
There is not enough information to solve for the unknowns.

Answer 1

any idea ?

Answer 2

very old question but will respond so this can be closed

set up a system of equations (i'll call the three laptops a, b, and c)

all of them cost 1,300 together (original price) ---> a + b + c = 1300
after doubling the price of the first laptop, tripling the third, total is 2,400 ---> 2a + b + 3c = 2,400
the first laptop is 100 more than th eprice of the second and third laptops: a = b + c + 100

solve for a, b, and c via substitution/elimination methods. as a hint you can use the third equation to substitute for a, and narrow down to 2 variables, 2 equations, and solve that via elimination