4. Two watermelons, A and B, are on sale. Watermelon A has a circumference of 6 inches; watermelon B, 5 inches. If the price of watermelon A is 1.5 times the price of watermelon B, which watermelon is a better buy?
(Assume that the two watermelons are spheres).
- A
- B
- Neither
- Both
- Impossible to determine
Approach 1:
Value = Volume / Price
The volume is proportional to radius^3 and the circumference is proportional to the radius. Increasing the circumference by 6/5 = 20% increases the volume by 1.2^3 = 1.728 (72.8%) and increases the price by 50%.
The increase in value of Watermelon A is 1.728 / 1.5 = 15.3% .
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