Question

A small town has two local high schools. High School A currently has 850 students
and is projected to grow by 45 students each year. High School B currently has 1000
students and is projected to grow by 35 students each year. Let A represent the
number of students in High School A in t years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine how many students would be in each high school in the year they
are projected to have the same number of students.
A =
Answer:
B =

pls help!!

Answer 1

Answer:

School A: 850 + 45t

School B: 1000 + 35t

After 15 years, both school has same strength and the total students in both school is 1525.

Step-by-step explanation:

High school A:

                                      Current strength = 850 students.

   New admission of students each year = 45 students

   New admission of students in 't' years = 45*t = 45t

To find the total students after 't' years, add the current strength with 45t.

   Total strength of the school A after 't' years = 850 + 45t

High school B:

                                      Current strength = 1000 students.

   New admission of students each year = 35 students

   New admission of students in 't' years = 35*t = 35t

To find the total students after 't' years, add the current strength with 35t.

   Total strength of the school B after 't' years = 850 + 35t

It is given that, the number of students are same in both schools after 't' years.

         Strength of School A = Strength of School B

                850 + 45t             = 1000 + 35t

                                      45t = 1000 + 35t - 850

                                     45t  = 1000 - 850 + 35t

                                     45t  = 150 + 35t

                              45t - 35t = 150

                                     10t   = 150

                                        t    = 150 ÷ 10

                                       t = 15

Strength of School A = 850 + 45 *15

                                   = 850 + 675

                                   = 1525

Strenght of school B = 1000 + 35*15

                                  = 1000 + 525

                                  = 1525