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Edward initially has $400 more than Robert. If Edward spends $60 and has three times more money than Robert, how much money does Robert have?

  1. 170 dollars

  2. 400 dollars

  3. 340 dollars

  4. 260 dollars

The correct answer is: 170 dollars

To solve the problem, it's important to establish the relationship between Edward's and Robert's amounts of money. Initially, Edward has $400 more than Robert, which means if we let Robert's amount be represented as R, then Edward's initial amount would be R + 400. After Edward spends $60, he has R + 400 - 60, which simplifies to R + 340. According to the information given, at this stage, Edward has three times more money than Robert. This can be represented mathematically as: R + 340 = 3R To solve this equation, we can rearrange it: 340 = 3R - R 340 = 2R R = 170 This indicates that Robert has $170. This result is consistent with the relationship established earlier: if Robert has $170, Edward initially had $570 (which is $170 + $400). After spending $60, Edward's amount is $510, and indeed, he has three times Robert's amount ($510 equals three times $170). Therefore, the reasoning confirms that Robert has $170, which aligns with the calculations and the conditions stated in the problem.