4.5 b: r」<;olv Answer Explanations
PS03777
1
(^3 1 1)
3 - -
3 -1
(A)
7
23
5
(Bl 13
(Cl
2
3
(D)
23
7
(E)
13
5
Arithmetic -......
PS07386
- After 4,000 gallons of water were added to a large
water tank that was already filled to - of its capacity,^3
the tank was then at—of^4 its capacity.^4 How many
gallons of water does the tank hold when filled to
capacity?
(A) 5,000
(B) 6,200
(C) 20,000
(D) 40,000
(El 80,000
Algebra .J
Perform each subtraction beginning at the lowest
level in the fraction and proceeding upward.
1 -
2
1 -
2
1
(^1) -
13
1
-^6
2
-
-
3
3
=
=
11 声
1
- 3
3
=
(^3) -^1
了
2
=
3-—^2
5
- 15 2
5 5
3
3
1
1
1 -
5 -
s
Let C be the capacity of the tank. In symbols,
the given information is 4, 000 +-C^3 = -^4 C. Solve
(^4 5)
for C.
(^4) , 000 +-^3 C =-^4 C
4 5
4, (^000) =
(千庄
(^4) ' 000 = 16-15
20 C
4, 000 =—^1 C
20
20(^4 ,00^0 ) = C
80 , 00 0 =C
Th e correct answer 1s E.
PS01099
56.Five^ machines^ at^ a certain^ factory^ operate^ at^ the
same constant rate. If four of these machines,
operating simultaneously, take 30 hours to fill a certain
production order, how many fewer hours does it take
all five machines, operating simultaneously, to fill the
same production order?
=
Th e correct answer 1s B.
356
1624
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