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.
Option: A is the correct answer.
A.
first laptop: $700
second laptop: $400
third laptop: $200
Let the cost of first laptop be: x
Second laptop be: y
and cost of third laptop be: z
Now, it is given that:
Adam bought three laptops for his office at a total cost of $1,300.
This means that:
x+y+z=1300---------(1)
on doubling the price of the first laptop and tripling the price of the third laptop, the total cost increased to $2,400.
This means that:
2x+y+3z=2400-------(2)
He spent $100 more on first laptop than the combined price of the second and third laptops.
This means that:
x-(y+z)=100------------(3)
On using equation (1) we have:
y+z=1300-x
Keeping the value of y+z in equation (3) we get:
x-(1300-x)=100
x-1300+x=100
2x=100+1300
x=1400/2=700
Hence, price of first laptop is: $ 700.
Now on putting the value of x in equation (1) and (2) we get:
y+z=600 ⇒ y=600-z------(4)
and y+3z=1000 (from equation (2) )
⇒ 600-z+3z=1000
⇒ 600+2z=1000
⇒ 2z=1000-600
⇒ 2z=400
⇒ z=200
Hence, cost of third laptop is: $ 200
and cost of second laptop is: $ 400
( since on putting the value of z in equation (4) )
A.
first laptop: $700
second laptop: $400
third laptop: $200
Answer:5
Step-by-step explanation:
6:30 is the ration
6/30 reduced is 1/5
1:5
so its 5
Max walks 0.2 laps per minute around the track. This conclusion was reached by dividing the total number of laps (6) by the total number of minutes (30).
The Mathematics problem posed is one concerning rates. It is given that Max walks 6 laps in 30 minutes. We need to find out how many laps would Max be able to walk in 1 minute.
To do this, we divide the total number of laps walked by the total number of minutes. In this case, we would divide 6 laps by 30 minutes.
6 laps ÷ 30 minutes = 0.2 laps per minute
Therefore, Max walks 0.2 laps around the track in 1 minute.
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