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:
13,00 + 5,000 - 3,000= 15,000
and:
Use the common denominator to compare the fractions.
9/10 or 2/3
5/8 or 3/5
2/3 or 5/6
4/14 or 2/7
4/5 or 4/10
6/8 or 5/6
:)
Answer: 3.2 i think
Step-by-step explanation:
Answer:
7(x-2)=5(x+4)
7x-14=5x+20
7x-5x=20+14
2x=34
x=17
7(x - 2) = 5(x + 4)
Multiply the first bracket by 7
(7)(x)=7x
(7)(-2)=-14
Multiply the second bracket by 5
(5)(x)=5x
(5)(4)=20
7x-14=5x+20
Move 5x to the other side. Sign changes from -5x to +5x.
7x-5x-14=5x-5x+20
7x-5x-14=20
2x-14=20
2x-14+14=20+14
2x=34
Divide both sides by 2
2x/2=34/2
Answer: x=17
The first package that gets both a baseball card and a football card is 225th package.
It is required to find the first package that gets both a baseball card and a football card.
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
We have to find the value of first package that gets both a baseball card and a football card .
The multiples of 9 and 25 and the common multiple is the solution.
9 = 9, 18, 27, 36, 45, .... 225
25 = 25, 50, 75, 100, 125, 150.... 225
Therefore , the first package that gets both a baseball card and a football card is 225th package.
Learn more details about arithmetic here:
#SPJ2
Answer: 225th package
Step-by-step explanation:
look for the first number where both 25 and 9 are a factor of.
25*1 is 25 which isn't a factor of 9, so it won't be 25.
25*2 is 50, which isn't a factor of 9.
75 is not a factor of 9. (you know because you don't get a whole number when you divide 75 into 9.)
100 is not a factor of 9, nor is 125, 150, 175, or 200.
However, 225 is a factor of both 25 and 9. This makes sense because 25*9 is 225.
This means that the first package with both will be the 225th package.