A total of 32 students sign up for a kayaking trip. Four more seniors (s) sign up than juniors (j). Which system of linear equations models this situation? A) s + j = 32 4s + j = 36 B) s + j = 32 s - j = 4 C) s + j = 36 s - j = 32 D) s + j = 36 - s - j = 4

Answer: s + j = 32, s - j = 4

Option is B) s + j = 32 & s - j = 4 models this situation

Explanation:

Given:

Total number of students sign up for kayaking trip = 32

Total number of juniors sign up for kayaking trip = j

Total Number of seniors sign up for kayaking trip = s

Solution:

According to question

s+j=32 ...1

s-j=4 ... 2

From equation (2)

s=4+j

substituting the value of s in equation (1),

(4+j) + j=32

4+2j=32

2j=32-4

2j=28

j=14

So the number of juniors who sign up for kayaking trip = 14

And number of seniors who sign up for kayaking trip = 14+4=18

Now we check all the options one by one by putting the values of s and j then we will find out that the Option B satisfy the above value of s and j.

So the correct option is B.