george and tine spent a total of $52.60 at the mall. if george spent $1.60 more than twice what tina spent. how much did each of them spend?

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We need to represent what Tina spent. Let's call it T. Twice this plus $1.60 is what George spent, so we can write what he spent in terms of what Tina spent, that is 2T+1.60. Together they spent $52.60, so 2T+1.60+T=52.60. So, adding the T's together we get 3T+1.60=52.60. Take 1.60 from each side of the equation and we get 3T=51, so dividing both sides of the equation by 3 we get T=17. That means Tina spent $17. George spent twice this plus 1.60, so George spent 34+1.60=35.60, that is $35.60.

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