A piece of paper with an area of 60 square inches is divided into two pieces so that the area of one is 2/3 the are of the other. The area (in square inches) of one of the pieces is
(A) 15
(B) 20
(C) 24
(D) 30
(E) 45
Im guessing it's E...
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OpenStudy (raffle_snaffle):
Why do you think it's E?
OpenStudy (anonymous):
Because 30 isn't the answer so anything before that can't be the answer either.
OpenStudy (anonymous):
@raffle_snaffle
OpenStudy (mertsj):
Let x be area of first piece
2/3 x = area of second piece
x+2/3 x = 60
OpenStudy (anonymous):
I got 40/1 for the area of the second piece.
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OpenStudy (mertsj):
How did you get that?
OpenStudy (mertsj):
What is x + 2/3 x?
OpenStudy (anonymous):
100...?
OpenStudy (mertsj):
1x + 2/3 x = 5/3 x
OpenStudy (anonymous):
Oh....
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OpenStudy (anonymous):
x=60 right?
OpenStudy (mertsj):
I guess you don't know how to solve equations?
OpenStudy (anonymous):
not really c:
OpenStudy (mertsj):
If you have an equation like this:
\[\frac{3}{4}x=12\]
OpenStudy (mertsj):
Solve it by multiplying both sides by the reciprocal of the coefficient of x
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OpenStudy (anonymous):
huuh...?
OpenStudy (mertsj):
So you don't know what reciprocals are?
OpenStudy (anonymous):
I know what reciprocals are, but im not sure what coefficient means.
OpenStudy (mertsj):
in the expression 3x, 3 is the coefficient of x
OpenStudy (anonymous):
oh...I got 16/1
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