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Math!Quick!20 point!Desmond...

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< async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"> 發問:

Desmond and Jay have $800 in total.If Desmond gives $160 to Joy, Jay will have 1.5 times as much as Desmond has. How much does Desmond have? Please help me!!!!!!!!!!!Thx@-@

最佳解答:

I suppose this is "If Desmond gives $160 to [ Jay ]". Let D be the amount Desmond has and J be the amount of Jay. D + J = 800 D = 800 - J If Desmond gives $160 to Jay, Jay will have 1.5 times as much as Desmond has (J+160)/(D-160) = 1.5 = 3/2 2(J+160) = 3(D - 160) 2J + 320 = 3[(800 - J) - 160] 2J + 320 = 3(800 - J) - 3(160) 2J + 320 = 2400 - 3J - 480 2J + 320 = 1920 - 3J 2J + 3J = 1920 - 320 5J = 1600 J = 1600/5 = 320 D = 800 - J = 480 Checking : (J+160)/(D-160) = (320+160)/(480-160) = 480/320 = 1.5 2014-01-27 00:38:03 補充： If the question is "If Desmond gives $160 to Joy". then D + J = 800 D = 800 - J If Desmond gives $160 to Joy, Jay will have 1.5 times as much as Desmond has J/(D-160) = 3/2 2J = 3(D-160) = 3D - 480 = 3(800-J) - 480 = 2400 - 3J - 480 = 1920 - 3J 2014-01-27 00:40:25 補充： 2J = 1920 - 3J 5J = 1920 J = 1920/5 = 384 D = 800 - J = 800 - 384 = 416 D+J = 416+384 = 800 J/(D-160) = 384/(416-160) = 384/256 = 1.5

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