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13 Dec 2014, 16:30
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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.
(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.
27 Dec 2014, 12:24
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Hi minwoswoh and Konstantin1983,
You both seem pretty clear on the idea that you don't have to perform every calculation to answer this question; that is more than just "intuition" though - it's an algebra shortcut that you'll be able to take advantage of a number of times on Test Day.
Here, the rule is "1 simple variable, 1 equation, I can solve it." By "simple", I mean that there are no exponents, absolute value signs, etc.
In Fact 1, we can create the equation:
$2,000 + 15Y = $2450
Here, Y represents the extra money that is charged for each additional guest (over the original 50 guests mentioned in the prompt). Since we're asked to figure out the value of Y, we CAN get the value of Y from this equal (without having to actually do the work) - "1 variable, 1 equation, I CAN solve it."
Fact 1 is SUFFICIENT
In Fact 2, we have a different formula, but a similar situation:
$2,000 + 50Y = $2,000 + 30Y + $600
Again, we have "1 variable, 1 equation", although you might need to do one extra "clean up" step to see it:
20Y = $600
Fact 2 is SUFFICIENT
Final Answer:
Be on the lookout for this pattern (and a few others like it) - they can save you some time and effort on Test Day.
GMAT assassins aren't born, they're made,
Rich
You both seem pretty clear on the idea that you don't have to perform every calculation to answer this question; that is more than just "intuition" though - it's an algebra shortcut that you'll be able to take advantage of a number of times on Test Day.
Here, the rule is "1 simple variable, 1 equation, I can solve it." By "simple", I mean that there are no exponents, absolute value signs, etc.
In Fact 1, we can create the equation:
$2,000 + 15Y = $2450
Here, Y represents the extra money that is charged for each additional guest (over the original 50 guests mentioned in the prompt). Since we're asked to figure out the value of Y, we CAN get the value of Y from this equal (without having to actually do the work) - "1 variable, 1 equation, I CAN solve it."
Fact 1 is SUFFICIENT
In Fact 2, we have a different formula, but a similar situation:
$2,000 + 50Y = $2,000 + 30Y + $600
Again, we have "1 variable, 1 equation", although you might need to do one extra "clean up" step to see it:
20Y = $600
Fact 2 is SUFFICIENT
Final Answer:
Be on the lookout for this pattern (and a few others like it) - they can save you some time and effort on Test Day.
GMAT assassins aren't born, they're made,
Rich
General Discussion
13 Dec 2014, 16:36
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Question Stem
Cost = 2,000 + y (n – 50) --> assuming n > 50
(1) 2,000 + 15y = 2,450
Sufficient, since there is 1 equation and 1 variable.
(2) 2,000 + 50y = 2,000 + 30y + 600
Sufficient, since there is 1 equation and 1 variable.
Hence, D.
You can answer this by intuition, but it is always good to force yourself to use the algebraic approach
Cost = 2,000 + y (n – 50) --> assuming n > 50
(1) 2,000 + 15y = 2,450
Sufficient, since there is 1 equation and 1 variable.
(2) 2,000 + 50y = 2,000 + 30y + 600
Sufficient, since there is 1 equation and 1 variable.
Hence, D.
You can answer this by intuition, but it is always good to force yourself to use the algebraic approach
