On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did : Problem Solving (PS)

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On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did

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Math Expert

Joined: 02 Sep 2009

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On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did [#permalink]

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30 Mar 2016, 03:55

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Difficulty:

25% (medium)

Question Stats:

74% (01:31) correct

26% (01:42) wrong

based on 207 sessions

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Spoiler: OA

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Re: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did [#permalink]

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30 Mar 2016, 04:12

Bunuel wrote:

Let Bill run x on saturday, so he will run x+4 on sunday..
Julia will run 2*(x+4) on sunday..
totai= x+x+4+2x+8=24..
4x+12=24..
x=3..
ans =x+4=3+4=7
C
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Re: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did [#permalink]

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31 Mar 2016, 00:35

On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 24 miles on Saturday and Sunday, how many miles did Bill run on Sunday?

A. 5
B. 6
C. 7
D. 8
E. 9

SOlution: Given: Julia ran 2x miles than Bill. Total Miles ran= 24= Just plugging In values. if Julia ran 14 miles Bill ran 10 miles.

Bill Ran total of 10 miles= Bill ran 4 miles more than he did on Sat=by info given, 3+4=7. Total miles ran 3+7=10
Ans: C.7

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Re: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did [#permalink]

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31 Mar 2016, 05:13

Bunuel wrote:

Assume Bill ran x miles on Saturday.
Therefore he ran x + 4 miles on Sunday.

Miles run by Julia on Saturday = 0
Miles run by Julia on Sunday = 2(x + 4) = 2x + 8

Total miles run by Julia and Bill = x + x+4 + 0 + 2x + 8 = 4x + 12
Given 4x + 12 = 24
Hence x = 3

Therefore Bill ran 3 + 4 = 7 miles on Sunday
Option C

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Re: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did [#permalink]

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13 Oct 2018, 09:49

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