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Re: For a wedding reception, a banquet facility charges a flat rate of $20 [#permalink]
For a wedding reception, a banquet facility charges a flat rate of $2000, which includes up to 50 guests. The facility then charges an additional y dollars for each additional guest. What is the charge for each additional guest?

(1) The cost of the reception with 65 guests is $2450.
(2) The cost of a reception with 100 guests is $600 more than the cost of a reception with 80 guests.

If a banquet facility charges 2000 for (lets assume) 50 guests then each guest costs 40 dollars.
Statement 1. 65-50=15 ==> 15 guests cost 450 dollars (2450-2000). Hence we can find y=30
Statement 2. For 100 guests costs are 2000+50Y; for 80 guests costs are 2000+30y. The difference is equal to 600 ==> 20y=600 ==> y=30
Hence answer D
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Re: For a wedding reception, a banquet facility charges a flat rate of $20 [#permalink]
Hi EMPOWERgmatRichC!
Yes you are right! Thanks! This method saves time since we don't have to find exact value of Y. We just have to see "1 equation, 1 variable" patter. Hope it will save everybody's time=))
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Re: For a wedding reception, a banquet facility charges a flat rate of $20 [#permalink]
minwoswoh wrote:
For a wedding reception, a banquet facility charges a flat rate of $2000, which includes up to 50 guests. The facility then charges an additional y dollars for each additional guest. What is the charge for each additional guest?

(1) The cost of the reception with 65 guests is $2450.
(2) The cost of a reception with 100 guests is $600 more than the cost of a reception with 80 guests.


Official solution

Correct Answer: D

If the cost of the facility and the first 50 guests is already known, the additional charge per guest can be determined by dividing the charges above the flat rate of $2000 by the number of guests in excess of 50.

Statement (1) indicates that with 65 guests the fee is $2450. This means that the additional 15 guests result in an additional $450 in charges, which becomes $30 per guest. Thus statement (1) by itself is sufficient to answer to question.

Statement (2) says that the difference between the cost of a reception for 80 guests and that of a reception for 100 guests is $600, which can be divided by the 20 additional guests for a charge of $30 per additional guest. Statement (2) is also sufficient. Since each statement alone is sufficient to answer the question, D is the correct response.
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Re: For a wedding reception, a banquet facility charges a flat rate of $20 [#permalink]
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