Michelle: x
Ian: 5x
Joe: 7x
Michelle + Ian + Joe = 208 berries
x + 5x + 7x = 208
Combine like terms: 13x = 208
Divide both sides by 13: x = 16
Joe = 7x = 7*16=112
Joe picked 112 berries
Step-by-step explanation:
If the tickets given to employees = 40
Then tickets given to listeners = 2 x no of employees tickets
= 2 x40 = 80
Total tickets = 40+ 80 = 120
Always get rid of denominators first. Multiply both right and left side by 6
-7 (6) = -c (6)/6 + 12(6)
-42 = -c + 72
c = 72 +42
c = 114
rearrange like terms together
42 = 18 - 4x
4x = 18 -42
4x = -24
divide both sides by 4
x = -6
The left side of this equation is already a perfect square: <span>x^2-10x+25=35.
Rewriting it, we get (x-5)^2 = 35.
Taking the sqrt of both sides, x-5 = sqrt(35).
Solving for x: x = 5 plus or minus sqrt(35) (answers)</span>