Answer:
Jelly Bean price per pound = $3.25, Trail Mix price per pound = $1.25
Step-by-step explanation:
Let jb = price per pound of jelly beans
Let tm = price per pound of trail mix
equation 1 -> 6*jb + 2*tm = 22
equation 2 -> 3*jb + 5*tm = 16
simplify equation 1
6*jb + 2tm = 22
2*tm = 22 - 6*jb
divide by 2
tm = 11 - 3*jb
plug this into equation 2
3*jb + 5*tm = 16
3*jb + 5*(11-3*jb) = 16
3*jb + 55 - 15*jb = 16
-12*jb + 55 = 16
-12*jb = 16 - 55
-12*jb = -39
jb = -39/-12
jb = 3.25
then, plug the cost per pound of jelly beans back into the simplified equation 1
tm = 11 - 3*jb
tm = 11 - 3*3.25
tm = 1.25
Answer:5
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Step 1: Write out equation
x + 9 = 18 - 2x
Step 2: Add 2x on both sides
x + 2x + 9 = 18 - 2x + 2x
3x + 9 = 18
Step 3: Subtract 9 on both sides
3x + 9 - 9 = 18 - 9
3x = 9
Step 4: Divide both sides by 3
3x/3 = 9/3
x = 3
