uugghh some more QR problems...

[flybry2000]

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Alright math pros, here are a couple more that got me stumped...

1) A painting which is 4ft wide and 5ft long is surrounded by a rectangular frame that is 6inches wide. What % of the area of the picture and the frame is occupied by the frame?

a) 10 1/2
b) 20
c) 30
d) 33 1/3
e) 50


2) if y= x+2/x-3, then which of the following represents x?

a) (3y+2)/(y-1)
b) (3y+2)/👍
c) (3y-2)/(y+1)
d) (5y)/(y+1)
e) (3y-2)/(y-1)



1)d 2)a

I've run through 1 too many times, and I'm not getting anywhere, and do you know what type of problem 2 is, and how to solve it?

Thanks guys!

 

[UndergradGuy7]

The painting is 4 ft wide and the frame is 6 inches of 0.5 feet. So the frame adds 0.5 ft to each side. So the total width with the frame included is 4 + 0.5 + 0.5 = 5 feet.

The same for the length 5 feet + 0.5 + 0.5 = 6 feet.

So the area of the picture and frame included is 5*6 = 30 ft^2

The area of the picture itself is 4*5 feet = 20 feet^2

So the area of the frame is 30-20 = 10

The percentage of the picture area over the total area is (10/30)*100 = 33.3%


Number 2

y= (x+2)/(x-3)
Multiply both sides by (x-3)
(x-3)*y=(x+2)
Multiply the left side out
xy-3y=x+2
Move everything with x on one side and y on the other.
xy-x=3y+2
Factor the left side for x
(y-1) * x = 3y+2
and you get x=(3y+2)/(y-1)

 

[flybry2000]

Thanks,

I found some more problems like number 2 in crack math, and I can't believe how east they are. And yes, now the painting problem makes sense. Thanks for the reply!

Flybry2000