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equations

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Source: — Data Sufficiency |
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by manpsingh87 » Tue May 17, 2011 2:56 am
alltimeacheiver wrote:can the ans be c by using both the linear equations or it can be D. Really Help on this
let the price of sandwich be x and the price of can of soda be y;
2x+3y=??

1)x+y=3; as nothing is mentioned about x and y; they can be either integers or non-integers, hence x and y can take different values(both integral as well as non-integral).. 1 alone is not sufficient to answer the question..!!

2)3x+2y=8; similarly here as well as x can be both integers as well as non-integers hence x and y can take different values( both integral as well as non-integral)... 2 alone is not sufficient to answer the question...!!!

combining 1 and 2 we have; x+y=3 and 3x+2y=8 solving these two equation we have x=2 and y=1;

hence 2x+3y=2*2+3*1=4+3=7; hence answer should be C
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by blaster » Wed May 18, 2011 9:58 pm
statement 1 gives us 1 equation. to solve 2 variable with one equation is not possible,so InSufficient
statement 2 gives us 1 equation. the reason why it's not sufficient the same.

with both statements we can solve the equation. hence C
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