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# ALEX got thrice as many marks in maths as in English.The proportion of

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Joined: 31 Oct 2013
Posts: 1163
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
ALEX got thrice as many marks in maths as in English.The proportion of  [#permalink]

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28 Jan 2019, 15:48
1
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:42) correct 20% (01:50) wrong based on 20 sessions

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ALEX got thrice as many marks in maths as in English.The proportion of his marks in maths and history is 4:3.If his total marks in maths , English and History are 250, what are his marks in English?

A)120
B)90
C)40
D)80
E)75.
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Re: ALEX got thrice as many marks in maths as in English.The proportion of  [#permalink]

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28 Jan 2019, 20:04
selim wrote:
ALEX got thrice as many marks in maths as in English.The proportion of his marks in maths and history is 4:3.If his total marks in maths , English and History are 250, what are his marks in English?

A)120
B)90
C)40
D)80
E)75.

Marks in English = 4x

Marks in Maths = 3*4x = 12x

Math/history = 4/3

i.e. Marks in History = 9x

Total marks = 4x+12x+9x = 25x = 250

i.e. x = 10

English Marks = 4x = 4*10 = 40

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Re: ALEX got thrice as many marks in maths as in English.The proportion of  [#permalink]

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28 Jan 2019, 20:11
selim wrote:
ALEX got thrice as many marks in maths as in English.The proportion of his marks in maths and history is 4:3.If his total marks in maths , English and History are 250, what are his marks in English?

A)120
B)90
C)40
D)80
E)75.

ALEX got thrice as many marks in maths as in English.=> M=3E or M:E=3:1
The proportion of his marks in maths and history is 4:3. M:H=4:3
Get the ratio of all three so M:E=3:1 can be written as M:E=3*4:1*4=12:1, and M:H=4:3 =4*3:3*3=12:9
Thus, M:H:E=12:9:4..
M+H+E=250 or 12x+9x+4x=250...25x=250...x=10

English = E = 4x=4*10=40

C
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Re: ALEX got thrice as many marks in maths as in English.The proportion of  [#permalink]

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29 Jan 2019, 02:11
selim wrote:
ALEX got thrice as many marks in maths as in English.The proportion of his marks in maths and history is 4:3.If his total marks in maths , English and History are 250, what are his marks in English?

A)120
B)90
C)40
D)80
E)75.

let english marks be x
maths ; 3x
given maths:history = 4:3
or say
3x/history = 4:3
history ; 9x:4

sum of history + maths + english = 250
9x/4 + 3x+x = 250
solve for x
we get 40 as english marks
IMO C
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Re: ALEX got thrice as many marks in maths as in English.The proportion of   [#permalink] 29 Jan 2019, 02:11
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