Question

The Binary Ice-cream Shopper sells two flavours : Vanilla and Chocolate, On Friday, the ratio of Vanilla cones sold to

Chocolate cones sold was 2:3. If the store had sold 4 more Vanilla cones, then, the ratio of Vanilla cones sold to the
Chocolate cones sold would have been 3 : 4. How many Vanilla cones did the store sell on Friday?
(a) 32
(b) 35
(c) 42
(d) 48​

Answer 1

The store sold 32 Vanilla cones on Friday. This was determined by setting up equations based on the original and new ratios of Vanilla to Chocolate cones and solving for the number of Vanilla cones sold.

Step-by-step explanation:

The question presents a problem involving ratios and proportion. Initially, the ratio of Vanilla cones sold to Chocolate cones sold was 2:3. If 4 more Vanilla cones had been sold, the ratio would have changed to 3:4. To solve this problem, let's denote the number of Vanilla cones sold as 2x and the number of Chocolate cones sold as 3x, where x is a positive integer.

According to the new ratio when 4 more Vanilla cones are sold, we have:

(2x + 4) / 3x = 3 / 4

Cross-multiplying gives us:

4(2x + 4) = 3(3x)

8x + 16 = 9x

So, x = 16

Therefore, the number of Vanilla cones sold on Friday was:

2x = 2 * 16 = 32

The store sold 32 Vanilla cones on Friday.