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The cost of 3 chocolates, 5 biscuits, and 5 ice creams is 195. What is the cost of 7 chocolates, 11 biscuits and 9 ice creams?
(A) The cost of 5 chocolates, 7 biscuits and 3 ice creams is 217. (B) The cost of 4 chocolates, 1 biscuit and 3 ice creams is 141.
We know that 3C+5B+5I = 195 ........ (1)
We need to find 7C+11B+9I = ? ........ (2)
Statement 1 tells us 5C+7B+3I = 217...... (3). Whatever we do with (1) and (3), we cant get to (2), so insufficient
Statement 2 tells us 4C+1B+3I = 141...... (4). Whatever we do with (1) and (4), we cant get to (2), so insufficient again
Combining the two statements, we have three unique equations and three variables, so we can solve for C, B and I and can find the required value in (2).
nimisha I see a continuous pattern in GMAT questions and I had this intuition that this is a "lone wolf" - I mean one choice alone is sufficient. Which one I can't guess. So let me ask you - is addition / subtraction the only way to get around the coefficients or is there some other way?? Just add them and see if it works. If not subtract them and see if it works. Any other way??
nimisha wrote:
Given: 3C + 5B + 5I = 195---------(a) 7C + 11B + 9I = ?-----------------(b) So we need to look for 4C + 6B + 4I (b-a)
(1). 5C+ 7B + 3I = 217--------------(c) (a)+(c) gives 8C + 12B + 8I = 412 which is equal to 4C + 6B + 4I = 206 Thus sufficient.
Well, addition/subtraction plus some intuition can help to get down to the solution. while doing the math, we need to have some idea as to what might lead to the possible solution. In this one, we are given one equation and asked for the value for the second one, so here you would want to figure out the value for the difference one. With this knowledge you can start adding/subtracting... I dont know if there is a sure shot way to proceed for such questions (would defintly like to know if there is one)..
I am with Nimisha. If you are doing really well in GMAT and get this kind of questions, you should start cross-checking it with addition and subtraction. The answer is A.
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25% (02:46) correct 
