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An exclusive tourist charges tourists b dollars for the fir

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An exclusive tourist charges tourists b dollars for the fir [#permalink]

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New post 21 Mar 2013, 12:36
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78% (01:59) correct 22% (01:38) wrong based on 23 sessions

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An exclusive tourist resort charges tourists b dollars for the first night stay and charges a reduced rate of c dollars for every subsequent night of stay .How much does the tourist resort charge tourist for the first night stay?

1)Adam was charged 390 dollars for his 6 nights stay
2)The average( arithmetic mean) daily room rent for 3 nights' stay is 7/9 th times the rate for the first night stay .
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Re: An exclusive tourist charges tourists b dollars for the fir [#permalink]

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New post 21 Mar 2013, 12:59
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guerrero25 wrote:
An exclusive tourist resort charges tourists b dollars for the first night stay and charges a reduced rate of c dollars for every subsequent night of stay .How much does the tourist resort charge tourist for the first night stay?

1)Adam was charged 390 dollars for his 6 nights stay
2)The average( arithmetic mean) daily room rent for 3 nights' stay is 7/9 th times the rate for the first night stay .


\(b=?\)

1)b+5n=390
not sufficient
n=1 b=385 and so on...

2)
\(\frac{(b+2n)}{3}=\frac{7}{9}b\)

\(6n=4b\)

\(b=\frac{3}{2}n\)

not sufficient

1+2)
\(b+5n=390\)
\(b=\frac{3}{2}n\)

\(b=90, n=60\)
sufficient, C
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Re: An exclusive tourist charges tourists b dollars for the fir   [#permalink] 21 Mar 2013, 12:59
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