<p>With <img alt="$400$" height="13" src="https://latex.artofproblemsolving.com/e/8/9/e8924412a12becf7905729885a46e3e351ec5a86.png" width="26" /> members voting the House of Representatives defeated a bill. A re-vote, with the same members voting, resulted in the passage of the bill by twice the margin by which it was originally defeated. The number voting for the bill on the revote was <img alt="$\frac{12}{11}$" height="37" src="https://latex.artofproblemsolving.com/0/e/d/0edd57293e3f66cf3ee404e9cc0980eba18c8539.png" width="20" /> of the number voting against it originally. How many more members voted for the bill the second time than voted for it the first time?</p>

Question No: 238

With $400$ members voting the House of Representatives defeated a bill. A re-vote, with the same members voting, resulted in the passage of the bill by twice the margin by which it was originally defeated. The number voting for the bill on the revote was $\frac{12}{11}$ of the number voting against it originally. How many more members voted for the bill the second time than voted for it the first time?

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Tags: Algebra

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