SOLUTION: I've sat here and tried this problem so much and I cannot figure out how to set the equation up. If you could help me, it would mean so much to me, thank you! There are 22 more

Question 793134: I've sat here and tried this problem so much and I cannot figure out how to set the equation up. If you could help me, it would mean so much to me, thank you!
There are 22 more sophomores than juniors in an 8AM algebra class. If there are 46 students in this class, find the number of sophomores and the number of juniors in the class.

Again, thank you so much.<3
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let s = no. sophomores
let j = no.of Juniors
:
Write an equation for each statements:
"There are 22 more sophomores than juniors in an 8AM algebra class."
s = j + 22
"If there are 46 students in this class,"
j + s = 46
From the 1st equation, replace s with (j+22)
j + (j+22) = 46
2j + 22 = 46
2j = 46 - 22
2j = 24
j = 24/2
j = 12 juniors
then
s = 12 + 22
s = 34 Sophomores
:
Check this: 12 + 34 = 46

RELATED QUESTIONS
Could you please help me with figuring out how to do this problem? r^2+3r=5 I... (answered by checkley77)

I cannot figure out how to set this problem up, can you help... (answered by ccstarburstlover)

I cannot figure this problem out! I cannot figure out how to set up an equation and... (answered by josgarithmetic)

ok i have a problem I have tried many things I cannot figure out the equation can you... (answered by nerdybill)

I'm learning about the Zero Product Property but I cannot figure out how to use it with... (answered by Boreal)

x/5 - y/10 = 4 x/2 + y/4 = 5 Solve the system of equation using the addition... (answered by Edwin McCravy)

I tried this by myself, but it didn't work out. Here is the question and the way I set... (answered by Paul)

Hi, I am really struggling with this word problem involving consecutive integers, I have... (answered by josmiceli)

I can not figure out how to set this problem up. I have tried to solve it multiple... (answered by rfer,MathTherapy)