3 The numerator of a positive fraction is 5 more than thrice its denominator If

3 the numerator of a positive fraction is 5 more than

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3. The numerator of a positive fraction is 5 more than thrice its denominator. If 13 is added to the denominator and 9 is subtracted from the numerator, the resulting fraction is twice the reciprocal of the original fraction. What is the original fraction? 4. Richard could finish a job 4 hours longer than Henry. After Richard had been working for 2 hours, Henry joined him and they completed the remaining portion after 4 hours. How long would it take Richard to do the job if he worked alone? 5. A chemist prepares 2 iodine solutions, A and B , of different concentrations. When she mixes 3 liters of solution A to 2 liters of solution B , she gets 64% solution iodine. When 1 liter of solution A is mixed to 4 liters of solution B , she gets only a concentration of 48%. Find the resulting iodine concentration should she wish to mix 2 liters of solution A and 3 liters of solution B . “Everything should be made as simple as possible, but not simpler.” — Albert Einstein
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  • Spring '11
  • AaronJamesPorlante
  • Math, Quadratic equation, Numerical digit, Mathematics in medieval Islam, Coordinate Plane, line segment AB

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