alltimeacheiver wrote:

The total cost of an office dinner was shared equally by k of the n employees who

attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19.

(2) If the total cost of the dinner had been shared equally by k + 1 of the n

employees who attended the dinner, each of the k + 1 employees would have

paid $18

stmnt1:

Kmembers each paid

$19==> total cost is

19Kbut the total cost can not be found as we do not know how many (

K) members paid that amount.

NOT SUFF.

stmnt2:

K+1 members paid

$18 each

==> total cost is

18(K+1)but the total cost can not be found as we do not know how many (

k+1) members paid that amount.

NOT SUFF.

1&2 together

it is implied that the amount paid by

K members, each paying

$19, is equilent to that paid by

K+1 members, each paying

$18==>

19K =

18(K+1)==>

K=18==> the toal cost of the dinner is

19K =

18(K+1) =

18*19=

$342 (costly dinner, i would never go to that restaurant)

Answer C.

Now in the

GMAT way (with out using variables such as x).

the total cost is paid by K members each paying $19

and also given that

the total cost could have been paid by K+1 members if each had payed $18

Means

if we added one person into the payees list, the cost for each person would be REDUCED by

$1 (from

19to

18) making the new person to pay

$18. this implies that the new person has bared

$18 of the total cost and made each of the original list of ppl to pay

$1 less. implies, The # of original ppl shud be

18 so that the new person can pay $18 baring

$1 from each of the original list of people (original payees).

means the orginal people were

18 and paid

$19 each

OR

with an additional person , the total # of people is

19 each paying

$18==> the total cost =

18*19 OR

19*18TRY solving the GMAT questions in the second way. Most of the word problems can be. It is called

"THINK without INK".Hope it helps.

Regards,

Murali.

Kudos?