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Jim currently has​ $1,250 in his bank account and Sally has​ $1,400 in her bank account. Jim deposits​ $27.50 per week and Sally deposits​ $20 per week into her account. After how many weeks will they have the same amount of​ money?

Please help and thank you! :)

Answer :

The number of weeks when Jim and Sally would have the same amount of money is 20 weeks.

The expression that can be used to represent the amount of money Jim would have in his account after x weeks is: $1,250 + 27.50x.

The expression that can be used to represent the amount of money Sally would have in his account after x weeks is: $1,400 + $20x.

In order to determine the number of weeks when they would have the same amount of money, the two expressions must be equal to each other.

$1,250 + 27.50x =  $1,400 + $20x

Combine similar terms

$1,400 - $1,250 = $27.50x - $20x

150 = $7.50x

x = 150 / 7.50 = 20 weeks

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