SOLUTION: George and Linda each have 20 dollars in the bank. Each week George adds 3 dollars to his account. Linda adds 1 dollar to her account each week. After how many weeks does George ha

Question 965175: George and Linda each have 20 dollars in the bank. Each week George adds 3 dollars to his account. Linda adds 1 dollar to her account each week. After how many weeks does George have twice as much as Linda?1
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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