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# The average number of Chelsea football fans at home games one through

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Senior Manager
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The average number of Chelsea football fans at home games one through  [#permalink]

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11 Oct 2018, 11:03
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57% (01:56) correct 43% (02:14) wrong based on 27 sessions

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The average number of Chelsea football fans at home games one through four, inclusive, was 23,960. How many more Chelsea fans were at the 5th game of the season than were at the 1st game of the season?
1) The average number of Chelsea fans at home games two through five, inclusive, was 27,670.
2) The sum of the fans at home games one through three equaled the sum of the fans at home games four and five.

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The average number of Chelsea football fans at home games one through  [#permalink]

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11 Oct 2018, 15:38
Abhi077 wrote:
The average number of Chelsea football fans at home games one through four, inclusive, was 23,960. How many more Chelsea fans were at the 5th game of the season than were at the 1st game of the season?
1) The average number of Chelsea fans at home games two through five, inclusive, was 27,670.
2) The sum of the fans at home games one through three equaled the sum of the fans at home games four and five.

The questions asks for G5 - G1

We know (G1+G2+G+G4)/4 = 23,960

From this we can find the sum of the first four games.

Statement 1) tell us the average from (G2+G3+G4+G5)/4 = 27,670

If we find the Sum of 2 to 5

We can then subtract it from the first equation

G2+G3+G4+G5 - (G1+G2+G3+G4)

It will be G5 - G1 = number.

Sufficient.

Statement 2) tells us the sum of G1+G2+G3 = G4+ G5

G5 - G1 = G2 + G3 - G4

I don’t have any information on these individual values.

Insufficient.

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The average number of Chelsea football fans at home games one through   [#permalink] 11 Oct 2018, 15:38
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# The average number of Chelsea football fans at home games one through

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