Solution:
Let "x" be the pounds
Company A charges $2.50 per pound plus a $20 service charge
Cost : 2.50x + 20 ------ eqn 1
Company B charges $4.50 per pound without any service charge
Cost : 4.50x ------- eqn 2
At what weight does it cost the same for both companies?
For both companies to cost the same, eqn 1 must be equal to eqn 2
2.50x + 20 = 4.50x
4.50x - 2.50x = 20
2x = 20
Divide both sides by 2
x = 10
Thus for 10 pounds, both companies cost the same