4.5 Answer ExplanationsSolving the second equation for H gives
H = 425 - G. Then, substituting 425 - G for Hin
the first equation givesG = 2(425-G)-10
G = 850 - 2 G- 10G= (^840) - 2 G
3 G = 840
G=280
Th e correct answer 1s E.
PSl 7036
47.
3 5 7
-100 + 1,000 + 100,000 =
(A) 0.357
(Bl 0.3507
(C) 0.35007
(D) 0.0357
(El 0.03507
Arithmetic
If each fraction is written in decimal form,
the sum to be found is
0.03
0.005
+0.00007
0.03507
Th e correct answer 1s E.
PS01650
- If r and s are positive integers such that (2�(4习=16,
then 2r + s =
23
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,Algebra
Using the rules of exponents,(2r)( 4 s) = 16(2')( (^2) 勺= 24
given
4 s = (2轩=2气16=2^4
2 r + 2s = 24 addition property of exponents
Thus, r + 2s = 4. However, the problem asks for
the value of 2r + s. Since rand s are positive
integers, s < 2; otherwise, r would not be positive.
Therefore, s = 1, and it follows that r + (2)(1) = 4,
or r= 2. The value of 2r+ sis (2)(2) + 1 = 5.
Alternatively, since (2')(4s ) = 16 and both rand
s are positive, it follows that s < 2; otherwise,
4宅16 and rwould not be positive. Therefore, s
=land (2')(4) = 16. It follows that 2'= 4 and r
= 2. The value of 2r +sis (2)(2) + 1 = 5.
The correct answer is D.
PS06726
- Three people each contributed x dollars toward the
purchase of a car. They then bought the car for
y dollars, an amount less than the total number of
dollars contributed. If the excess amount is to be
refunded to the three people in equal amounts, each
person should receive a refund of how many dollars?
(A)3x-y
3(B)x-y
3(C)x-3y
3(D) y- 3x
3
(E) 3(x-y)
Algebra
The total to be refunded is equal to the total
contributed minus the amount paid, or 3x - y. If
3x - y is divided into three equal amounts, then
each amount will be3 x -y
3
Th e correct answer 1s A.
2x+ 2 y=-4
4x+ y = 1
PS07331- In the system of equations above, what is the value
of X?
{A) -3
(B) -^1
2
(C)(D)(El3-45ll