question down below

Question

A group of 28 people

attended the fieldtrip. The

number of teachers on the

fieldtrip was 20 less than

the number of students.

Write a system of equations

that describes the number

of teachers, t, and the

number of students, s, that

went on the fieldtrip.

t = s – 20

t + s = 28

Answer 1

28 = t + s

t = s - 20

with systems of equations, you have to write one of your variables (t ) in terms of your other variable (s) and substitute that into your first equation. since t = s-20, we will replace t in the first equation with (S-20). then we solve for S and once we have s, substitute that with the value of s in the first equation to find t!

28 = (s-20) + s

28 = 2s - 20

48 = 2s

s = 24

28 = 24 + t

t = 4

Answer 2

Hi Sal N.

 

You are already have one of the equations in terms of t and s

t + s = 28

To make another equation in terms of t and s from

t = s - 20

Subtract s from both sides of the equation, this will move the variables to one side of the equal sign.

Please give that a try.

If you have any questions please send me a message.