Please someone....
1. If Ms. Evans sold 1 acre more than 2/3 of her farm and had 4 acres less than 1/2 of it left, the number of acres in the original farm was?
a)11
b)13
c)18
d)21
e)30
2. Assuming that 2.54cm equal 1 inch, how many sixteenths of an inch (to the nearest sixteenth) equal 1 cm?
a)4
b)6
c)7
d)8
e)16
Ms. Evans
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Let's let the number of acres = xprepgmat wrote:Please someone....
1. If Ms. Evans sold 1 acre more than 2/3 of her farm and had 4 acres less than 1/2 of it left, the number of acres in the original farm was?
a)11
b)13
c)18
d)21
e)30
x - ((2/3)x + 1) = (1/2)x - 4
x - (2/3)x - 1 = (1/2)x - 4
(1/3)x - (1/2)x = -4 + 1
-(1/6)x = -3
x = (-6)(-3)
x = 18
1 inch = 2.54cm, so 1cm = 1/2.54 inches2. Assuming that 2.54cm equal 1 inch, how many sixteenths of an inch (to the nearest sixteenth) equal 1 cm?
a)4
b)6
c)7
d)8
e)16
We want to know how many 16ths of an inch = 1cm
So, x/16 = 1/2.54
At this point, we can either do the math or check the choices.
Algebra:
x = 16/2.54 = a bit less than 16/2.5 = 32/5 = 6.4 - round off to 6.
Backsolving from the choices:
Of the choices, 4 is too small (since 4/16 = 1/4) and 16 is too big (since 16/16 = 1), so we just need to try out the middle choice - if it's just right, then (c) is correct. If it's too big, choose (b), if it's too small, choose (d).
7/16 = just under .44
1/2.54 = just under .4 (we know this because 1/2.5 = 4/10 = .4)
So, 7/16 is too big, choose (b) 6
(for the record, 6/16 = 3/8 = .375)
Stuart Kovinsky | Kaplan GMAT Faculty | Toronto
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