The school received 14 rolls of free movie tickets from a local theater. There are 48 tickets in each roll. The school has 32 classes of 24 students each. If the school plans to give one ticket to each student, which of the following statements is true?
A. The school will have 40 tickets left over.
B. The school will have exactly enough tickets.
C. The school will need 2 more rolls of tickets.
D. The school will need 4 more rolls of tickets.
14 * 48 = 672
32 * 24 = 768
768 - 672 = 96
which statement is true and how?
The school needs 96 more tickets.
That makes either C or D true. Which is it?
C is the correct answer because there are 96 more students than there are tickets.
To find out if the school will have enough tickets for all the students, we need to calculate the total number of students and the total number of tickets.
Number of rolls of tickets = 14
Number of tickets in each roll = 48
Total number of tickets = Number of rolls of tickets * Number of tickets in each roll
Total number of tickets = 14 * 48
Total number of tickets = 672
Number of classes = 32
Number of students in each class = 24
Total number of students = Number of classes * Number of students in each class
Total number of students = 32 * 24
Total number of students = 768
Now, we can compare the total number of tickets with the total number of students.
If the total number of tickets is less than the total number of students, it means the school will need more tickets. In this case, the school would need 4 more rolls of tickets (as each roll has 48 tickets).
So the correct answer is D. The school will need 4 more rolls of tickets.