Mrs. Black has a bag of candy bars to hand out to the students in her class before they take their AP calculus BC exam. If she gives each student 3 candy bars, she will have 6 left over. In order to give each student 5 candy bars, she will need 50 more candy bars. How many students are in Mrs. Blacks class?a)18b)27c)28d)44Correct answer is option 'C'. Can you explain this answer?

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Mrs. Black has a bag of candy bars to hand out to the students in her class before they take their AP calculus BC exam. If she gives each student 3 candy bars, she will have 6 left over. In order to give each student 5 candy bars, she will need 50 more candy bars. How many students are in Mrs. Black's class?

a)
18
b)
27
c)
28
d)
44

Correct answer is option 'C'. Can you explain this answer?

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Mrs. Black has a bag of candy bars to hand out to the students in her ...

Begin by assuming that there are n students in Mrs. Black's class. If she gives out 3 candy bars to each student and has 6 left over, she must have 3n + 6 candy bars. If she needs 50 more candy bars in order to give each student 5 candy bars, she must have 5n - 50 candy bars. Since these two expressions both express the total number of candy bars, 3n + 6 = 5n - 50
Add 50 and subtract 3n: 56 = 2n
Divide by 2: 28 = n

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