The circle graph shows the distribution of colors, by percent, for candies in a large jar. If there are 112 green candies in the jar, how many yellow candies are in the jar?

Rationale

There are 49 yellow candies in the jar.

To find the number of yellow candies, we first need to determine the percentage of yellow candies in relation to the total number of candies. Given that there are 112 green candies and that they represent a specific percentage of the total, we can calculate the total and subsequently find the number of yellow candies.

A (46) YOUR ANSWER

This choice suggests there are 46 yellow candies, which, when calculated against the total number of candies, does not align with the provided data. If we assume 46 yellow candies, the total number of candies would be too low based on the percentage distribution given for green candies.

B (49) CORRECT

This is the correct answer. If the yellow candies make up the correct percentage of the total calculated from the 112 green candies, then 49 yellow candies would fit within the expected distribution from the graph, ensuring the total number of candies aligns with the known percentages.

C (53) YOUR ANSWER

If there were 53 yellow candies, it would imply a higher percentage than what is represented in the graph. This would lead to a total number of candies that exceeds the expected proportions based on the count of green candies, making this choice incorrect.

D (60) YOUR ANSWER

This option suggests an even larger number of yellow candies. Similar to option C, if there were 60 yellow candies, the total would not correspond with the percentages shown in the graph. This significant deviation indicates that this choice cannot be valid given the known amount of green candies.

Conclusion

The calculation of yellow candies from the provided data reveals that 49 is the correct answer, as it aligns with the total percentage distribution of candies in the jar. Other options do not fit within the constraints set by the known quantity of green candies and their respective percentages, highlighting the importance of accurate data interpretation in solving such problems.

The circle graph shows the distribution of colors, by percent, for candies in a large jar. If there are 112 green candies in the jar, how many yellow candies are in the jar?

There are 49 yellow candies in the jar.

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