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On a certain test, Bill scored 20 more points than John, but half as

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On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

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New post 02 Nov 2015, 07:50
00:00
A
B
C
D
E

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  25% (medium)

Question Stats:

74% (01:14) correct 26% (01:49) wrong based on 78 sessions

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On a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 180 points, how many points did Bill receive?

A. 30
B. 40
C. 50
D. 80
E. 100

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Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

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New post 02 Nov 2015, 08:33
say Bill got B marks ,
we then have B + 2B + B-20 =180
4B=200
B=50
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Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

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New post 02 Nov 2015, 08:48
B = J + 20
J = B -20

B = S/2
S = 2B

The sum of the 3 of them
B + J + S = 180
B +B -20 + 2B = 180
4B = 200
B = 50
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Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

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New post 02 Nov 2015, 08:50
Let the score of Bill = B
the score of John = J
the score of Sue = S

B= J+20
B= S/2

B+J+S=180
=> B+ B-20 + 2B= 180
=> 4B = 200
=> B =50

Answer C
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Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

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New post 17 Apr 2016, 12:46
consider john's points as x
so bill's points are x +20
So sue's points are 2x +40
total of all three students is 4x +60, but this total is given as 180
x = 30
so bill's points = 30 +20 = 50
correct answer option C
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Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

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New post 18 Apr 2016, 00:33
Seeing a question like this should always trigger your algebraic brain cells

J=B-20
B=J+20
B=0.5*S
S=2B

B+J+S=180

Now try using only ONE variable, in our case we will use B.

B+B-20+2B=180
Simplify to get all variables on one side and all numbers on the other side
4B=200
B=50
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Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

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Re: On a certain test, Bill scored 20 more points than John, but half as &nbs [#permalink] 04 Sep 2018, 17:57
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