A store sells multi-packs of lemon-flavored or orange-flavored soda. If Lana buys more than one pack each of lemon flavor and of orange flavor for a total of 40 bottles of soda, how many packs of lemon flavor does she buy?
(1) One pack of orange soda contains 6 bottles and one pack of lemon soda contains 2 bottles.
(2) The ratio of orange soda bottles to lemon soda bottles is 3 to 1.
OAC
Please explain.
Many thanks in advance.
Kavin
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lemon-flavored or orange-flavored soda
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Statement 1:A store sells multi-packs of lemon-flavored or orange-flavored soda. If Lana buys more than one pack each of lemon flavor and of orange flavor for a total of 40 bottles of soda, how many packs of lemon flavor does she buy?
(1) One pack of orange soda contains 6 bottles and one pack of lemon soda contains 2 bottles.
(2) The ratio of orange soda bottles to lemon soda bottles is 3 to 1.
Case 1: 6 six-packs of orange soda and 2 two-packs of lemon soda are purchased, for a total of 40-bottles.
Case 2: 5 six-packs of orange soda and 5 two-packs of lemon soda are purchased, for a total of 40 bottles.
Since the number of lemon packs can be different values, INSUFFICIENT.
Statement 2:
Since a total of 40 bottles are purchased, and orange bottles/lemon bottles = 3/1 = 30/10, the total number of orange bottles = 30 and the total number of lemon bottles = 10.
Since the number of lemon bottles in each lemon pack is unknown, no way to determine how many lemon packs are purchased.
INSUFFICIENT.
Statements combined:
Since 10 lemon bottles are purchased, and each lemon pack contains 2 bottles, the number of lemon packs purchased = (total number of lemon bottles)/(number of bottles per pack) = 10/2 = 5.
The correct answer is C.
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Hi Kavin,
This is essentially a 'unit conversions' question, but the prompt doesn't tell us what the conversion rate is (re: we don't know how many BOTTLES are in each PACK).
We're told that more than one PACK of lemon and more than one PACK of orange were purchased and that the total was 40 BOTTLES. We're asked how many PACKS of lemon were purchased.
1) One pack of orange soda contains 6 bottles and one pack of lemon soda contains 2 bottles.
Since there were 40 total bottles, we can use this Fact, and TESTing VALUES to 'map out' the possibilities (there's also a math shortcut here - notice how buying 1 more orange pack reduces the number of lemon packs by 3).
There could be....
2 packs orange and 14 packs lemon
3 packs orange and 11 packs lemon
4 packs orange and 8 packs lemon
5 packs orange and 5 packs lemon
6 packs orange and 2 packs lemon
There are clearly varying answers to the given question.
Fact 1 is INSUFFICIENT
2) The ratio of orange soda bottles to lemon soda bottles is 3 to 1.
Since there are 40 total bottles, this Fact helps us to deduce that there are 30 orange bottles and 10 lemon bottles. Unfortunately, we don't know how many bottles are in each pack.
IF.... there is 1 bottle per pack, then we have 30 orange packs and 10 lemon packs
IF.... there are 2 bottles per pack, then we have 15 orange packs and 5 lemon packs
IF.... there are 5 bottles per pack, then we have 6 orange packs and 2 lemon packs
There CANNOT be 10 bottles per pack, since that would give us just 1 lemon pack (and the prompt stated that Lana bought MORE than 1 pack of each).
Fact 2 is INSUFFICIENT
Combined, there's only one option that 'overlaps' both Facts: 6 orange packs and 2 lemon packs
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
This is essentially a 'unit conversions' question, but the prompt doesn't tell us what the conversion rate is (re: we don't know how many BOTTLES are in each PACK).
We're told that more than one PACK of lemon and more than one PACK of orange were purchased and that the total was 40 BOTTLES. We're asked how many PACKS of lemon were purchased.
1) One pack of orange soda contains 6 bottles and one pack of lemon soda contains 2 bottles.
Since there were 40 total bottles, we can use this Fact, and TESTing VALUES to 'map out' the possibilities (there's also a math shortcut here - notice how buying 1 more orange pack reduces the number of lemon packs by 3).
There could be....
2 packs orange and 14 packs lemon
3 packs orange and 11 packs lemon
4 packs orange and 8 packs lemon
5 packs orange and 5 packs lemon
6 packs orange and 2 packs lemon
There are clearly varying answers to the given question.
Fact 1 is INSUFFICIENT
2) The ratio of orange soda bottles to lemon soda bottles is 3 to 1.
Since there are 40 total bottles, this Fact helps us to deduce that there are 30 orange bottles and 10 lemon bottles. Unfortunately, we don't know how many bottles are in each pack.
IF.... there is 1 bottle per pack, then we have 30 orange packs and 10 lemon packs
IF.... there are 2 bottles per pack, then we have 15 orange packs and 5 lemon packs
IF.... there are 5 bottles per pack, then we have 6 orange packs and 2 lemon packs
There CANNOT be 10 bottles per pack, since that would give us just 1 lemon pack (and the prompt stated that Lana bought MORE than 1 pack of each).
Fact 2 is INSUFFICIENT
Combined, there's only one option that 'overlaps' both Facts: 6 orange packs and 2 lemon packs
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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This is also a great example of a trap E DS question: if you don't look carefully at the problem, you assume the two statements say the same thing and that the problem can't be solved ... but there's a subtle difference between the two!
Typically in DS, if the answer is "obviously" one thing, then the true answer is actually something else, and remembering this testwriter misdirection can be extremely helpful when you're forced to guess (or feeling a little too cocky about one answer) on test day.
Typically in DS, if the answer is "obviously" one thing, then the true answer is actually something else, and remembering this testwriter misdirection can be extremely helpful when you're forced to guess (or feeling a little too cocky about one answer) on test day.
