Question 965175
looks like 20 weeks.


in 20 weeks, george will have 20 + 3 * 20 = 20 + 60 = 80
in 20 weeks, linda will have 20 + 1 * 20 = 20 + 20 = 40


80 is 2 times 40.


the formula for george is y = 20 + 3x
the formula for linda is y = 20 + x


x represents the number of weeks.


when george has 2 times as much as linda, then 20 + 3x is equal to 2 * (20 + x)


solve that equation for your answer.


20 + 3x = 2 * (20 + x) becomes:


20 + 3x = 40 + 2x.


subtract 2x from both sides of the equation and subtract 20 from both sides of the equation to get:


3x - 2x = 40 - 20


simplify to get x = 20


that's your solution.