8. 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?
Answer: B
There are 36 more blue gumballs than yellow gumballs.
To determine how many more blue gumballs there are than yellow gumballs, we first calculate the number of yellow and blue gumballs. Given that 5% of the 120 gumballs are yellow, there are 6 yellow gumballs. The remaining percentage for blue gumballs is 35%, which gives us 42 blue gumballs. Thus, the difference is 42 - 6 = 36.
A) 48
This option is incorrect as it suggests there are 48 more blue gumballs than yellow gumballs. With the calculated values of 42 blue gumballs and 6 yellow gumballs, the difference cannot be 48.
B) 36
This option is correct. The calculation shows there are 42 blue gumballs and 6 yellow gumballs, leading to a difference of 36 blue gumballs more than yellow gumballs.
C) 30
This option is incorrect. A difference of 30 would imply that there are either fewer blue gumballs or more yellow gumballs than the calculated amounts. With 42 blue and 6 yellow, the difference cannot be 30.
D) 42
This option is incorrect as it indicates that there are 42 more blue gumballs than yellow gumballs. The actual difference is 36, based on the known quantities of blue and yellow gumballs.
Conclusion
The correct answer is 36, as it accurately reflects the difference between the calculated numbers of blue and yellow gumballs. All other options misrepresent the difference based on the total gumball counts provided. Hence, option B is the only valid choice based on the given data.