The student council is going on a field trip. There are 5 officers, 2 sixth-grade representatives, 8 seventh-grade representatives, and 12 eighth-grade representatives. Two faculty advisors, 3 parent volunteers, and 1 principal are joining the students on the trip. What is the number of students per adult going on the field trip? a. 2 students per adult
b.22 students per adult
c.4 students per adult
d.1 student per adult

a. 2 students per adult

Step-by-step explanation:

5+2+3+1=11

2+8+12=22

2:1  

40 minutes

step-by-step explanation:

add the time and multiply by 2

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1