1. Person A had 6 melons. Person B had 5 carrots. Person C had 20 grapes. If 10 grapes are worth 1 carrot and 5 carrots are worth 1 melon, how many grapes are worth 6 melons?
Answer: D
300 grapes are worth 6 melons.
To determine how many grapes are equivalent to 6 melons, we first convert melons into carrots and then carrots into grapes. Since 5 carrots equal 1 melon, 6 melons equal 30 carrots. With the conversion rate of 10 grapes per carrot, 30 carrots equal 300 grapes.
A) 30
This option is incorrect because it suggests that only 30 grapes are needed for 6 melons. Given the conversion rates, the calculation shows that significantly more grapes are required.
B) 120
This option is also incorrect. Although it indicates a larger quantity than 30, it underestimates the number of grapes needed according to the provided conversion rates. The calculations reveal that a much higher number is necessary.
C) 60
This choice is incorrect as well. It results from a misunderstanding of the conversions. Since 6 melons equate to 30 carrots and each carrot is worth 10 grapes, the correct total far exceeds 60.
D) 300
This option is correct. The conversion process shows that 6 melons equal 30 carrots, which in turn equals 300 grapes when applying the conversion rate of 10 grapes per carrot.
Conclusion
The calculations confirm that 6 melons correspond to 300 grapes, making option D the only viable choice. All other options fail to accurately represent the required conversions, demonstrating a misunderstanding of the relationships among the quantities provided.