A group of 72 students went on a field trip. The students traveled in vans, with an equal number of girls and boys in each van. If 42 boys went on the trip, how many vans where there?
A. 9
B. 8
C. 7
D. 6
GCD(42,30) = 6
so 7 boys and 5 girls in each van
72/12 = 6
Well, if there were 42 boys on the trip and each van had an equal number of girls and boys, then there must have been 42 girls as well. So in total, there were 42 boys and 42 girls, which adds up to 84 students. But since the question said there were only 72 students, it seems like some of the students decided to go carpooling with some clowns instead! So the correct answer is not any of the options given, but rather a clown car! 🤡🚗
To find out how many vans there were, we need to divide the total number of students (72) by the number of students in each van. Since each van had an equal number of girls and boys, we know that the number of girls is also 42.
To find the number of vans, we divide the total number of students by the number of students in each van:
72 students ÷ (42 boys + 42 girls) = 72 ÷ 84 = 0.8571
However, since we cannot have a fractional or decimal number of vans, we need to round up to the nearest whole number. Therefore, there were a total of 7 vans.
Therefore, the answer is C. 7.
To find the answer, we need to first figure out how many students are in each van. We know that there are 42 boys on the trip, and since there is an equal number of girls and boys in each van, there must be 42 girls as well.
So the total number of students in each van is 42 boys + 42 girls = 84 students.
Next, we divide the total number of students on the trip (72) by the number of students in each van (84):
72 students / 84 students/van = 0.857 vans
Since we cannot have a fraction of a van, we need to round up to the nearest whole number. Therefore, there are a total of 1 van.
However, the question asks for the number of vans, not the number of students in each van. Therefore, the correct answer is:
D. 6