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Lets take an example to help illustrate the point I am going to make:
A citrus fruit grower receives $15 for each crate of
oranges shipped and $18 for each crate of grapefruit
shipped. How many crates of oranges did the grower
ship last week?
(1) Last week the number of crates of oranges that
the grower shipped was 20 more than twice the
number of crates of grapefruit shipped.
(2) Last week the grower received a total of
$38,700 from the crates of oranges and
grapefruit shipped.
Ok, now lets skip the part that neither (1) nor (2) is sufficient to answer the question.
Then we can check combined info from both (1) & (2), lets say we come up with equations in the form as follows:
ax + by = u
cx + dy = v
My question is do we need to SOLVE to get the value of x or y in order to answer the question asked???
I know most people will say NO, however what if there are no solution or indefinite solutions, and as the result, we can not answer the question of "how many"
Did anyone experience this situation in real GMAT? If the answer is 100% NO then I can save a lot of time on real test.
A citrus fruit grower receives $15 for each crate of
oranges shipped and $18 for each crate of grapefruit
shipped. How many crates of oranges did the grower
ship last week?
(1) Last week the number of crates of oranges that
the grower shipped was 20 more than twice the
number of crates of grapefruit shipped.
(2) Last week the grower received a total of
$38,700 from the crates of oranges and
grapefruit shipped.
Ok, now lets skip the part that neither (1) nor (2) is sufficient to answer the question.
Then we can check combined info from both (1) & (2), lets say we come up with equations in the form as follows:
ax + by = u
cx + dy = v
My question is do we need to SOLVE to get the value of x or y in order to answer the question asked???
I know most people will say NO, however what if there are no solution or indefinite solutions, and as the result, we can not answer the question of "how many"
Did anyone experience this situation in real GMAT? If the answer is 100% NO then I can save a lot of time on real test.
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17 Nov 2009, 12:26
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as long as the two equations are distinct, I guess there will definitely be a solution.
but if they are not distinct as S1: 3x+2y=5 and S2: 6x+4y=10, then we cannot solve for x,y because we have only one equation and two variables
do u have a set of such distinct equations which provide no solution for x and y? I am curious...
but if they are not distinct as S1: 3x+2y=5 and S2: 6x+4y=10, then we cannot solve for x,y because we have only one equation and two variables
do u have a set of such distinct equations which provide no solution for x and y? I am curious...
my point was we dont need to calculate if we have two distinct equations and 2 variables
