A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?

Rationale

There are 36 more blue gumballs than yellow gumballs.

Given the percentages for each color, we can calculate the number of gumballs for each color. The percentage of yellow gumballs is 5% and the remaining percentage, which is for blue gumballs, is calculated as 100% - (20% + 30% + 5% + 10%) = 35%. Therefore, the difference between blue and yellow gumballs is 35% - 5% = 30%. As there are 120 gumballs in total, this 30% difference translates to 36 gumballs.

A (48) YOUR ANSWER

This answer might be derived from incorrect calculation of the difference between the number of blue and yellow gumballs. It's important to remember that the difference is based on the percentages of each color in the total quantity of gumballs, not on the absolute numbers.

B (36) CORRECT

This is the correct answer. The difference between the number of blue and yellow gumballs is 30% of the total quantity of gumballs, which is 120. Therefore, the difference is 0.3 * 120 = 36.

C (30) YOUR ANSWER

This answer could be a result of misunderstanding the question and calculating the percentage difference (30%) without applying it to the total number of gumballs. The actual difference in the number of gumballs is found by multiplying the percentage difference by the total number of gumballs.

D (42) YOUR ANSWER

This answer might be derived from incorrect calculation or a misinterpretation of the question. The correct number of additional blue gumballs compared to yellow ones is determined by the difference in their respective percentages of the total, multiplied by the total number of gumballs.

Conclusion

The question requires calculating the difference between the number of blue and yellow gumballs in a gumball machine. Given the percentages of each color, and the total number of gumballs, we find that the difference is 36. Incorrect answers may stem from miscalculations or misunderstanding the question, such as not applying the percentage difference to the total number of gumballs.

A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?

There are 36 more blue gumballs than yellow gumballs.

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