If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets, then which among the following could be the total number of Platinum tickets sold?

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Question :

Started 10 months ago by Shashank in

0 223

A.
32
B.
38
C.
34
D.
36

Option A is the correct answer.

Explanatory Answer

From second constraint,
OLD Visitors = x, MID = 2x, Young = 4x.
7x = 140 or, x = 20 , 2x = 40 , 4x = 80.
Let us fill this in. and then go to constraint 3 and 4.

From constraint 3, Total Platinum = 2y, then YNG platinum should be y.
From constraint 4, Let us fill OLD-GOLD and OLD-ECO has z.

OLD-PT should be equal to MID-PT, OLD-PT and MID-PT add up to y.
So, each should be y2𝑦2. Now, we know that y2𝑦2 = 20 – 2z.
Total number of PT seats = 2y = 4 (20 – 2z) = 8 (10 – z). So, this number should be a multiple of 8.
The only possible answer is 32