Three kinds of ice cream are on sale, Vanilla, Chocolate, and Strawberry. If ratio of the sales volume of vanilla to that of strawberry is 9 to 2, how many chocolate was sold?
1). Chocolate: Strawberry=10:7
2). Less than 120 ice creams had been sold.
c
E
it shall be E
until exact number of ice creams sold are not known we cannot find the chocolates sold
E
20
V = Vanilla, S = Straberry, C = Chocolate
V/S = 9/2 => V = 9S/2 (Given)
C/S = 10/7 => C = 10S/7 (as per condition 1) – Not sufficient to arrive at a definitive value of No. of Chocolate ice creams sold
Also, with S + V + C < 120 (condition 2), alone, the answer cannot be obtained
Thus total ice creams sold = S + V + C = 97S/14 <120 (as per condition 1 & 2)
Since no. of ice creams sold must be a whole no. (cannot be a fraction) and 97 is a prime no., S = 14, and therefore C = 20 (Needs both conditions 1 & 2 to solve this)
Answer: C (both conditions are required to solve this question, no. of chocolate ice creams sold = 20)