A group of students attended a science competition over the weekend. There are 12 students each from grades 4 and 5 and 15 each in grades 6 and 7. The hotel books 4 students to each room. How many rooms do the students need?

14 rooms

Step-by-step explanation:

Given:

There are 12 students each from grades 4 and 5.

There are 15 students each from grades 6 and 7.

The hotel books 4 students to each room.

Question asked:

How many rooms do the students need ?

Solution:

As 12 students each from grades 4 and 5, total number of students altogether,

12 + 12 = 24 students

As 15 students each from grades 6 and 7, total number of students altogether,

15 + 15 = 30 students

Total number of students from all the grades  attended a science competition = 24 + 30 = 54 students

Now, it is given that each room booked for 4 students.

Applying unitary method:

For 4 students, room booked = 1

For 1 students, room booked =

For 54 students, room booked =

                                                   =

As number of rooms cannot be in decimals and hence 13 rooms is needed for 52 student and 1 more room will be needed for 2 students (0.5 = half of 4 students is 2 students)

Hence, total 14 rooms will be needed to booked for 54 students.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c