document.write( "Question 1050566: Four friends bought a boat for $1200. Friend A paid half the sum of the amounts paid by the other 3 friends. Friend B paid one-third the sum paid by the other three. Friend C paid one-fourth the sum paid by the other three. Friend D paid the rest. How much did friend D pay? \n" ); document.write( "

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\n" ); document.write( "Four friends bought a boat for $1200. Friend A paid half the sum of the amounts paid by the other 3 friends. Friend B paid one-third the sum paid by the other three. Friend C paid one-fourth the sum paid by the other three. Friend D paid the rest. How much did friend D pay?
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A + B + C + D = 1,200 ------- eq (i)
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document.write( "_________2A = B + C + D_____2A - B - C - D = 0 ------- eq (ii)
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document.write( "___________3B = A + C + D____A - 3B + C + D = 0 ------ eq (iii)
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document.write( "________4C = A + B + D____A + B - 4C + D = 0 --------- eq (iv)\r
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document.write( "3A = 1,200 ------- Subtracting eq (ii) from eq (i)
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document.write( "A paid:  = \r
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document.write( "4B = 1,200 ------- Subtracting eq (iii) from eq (i)
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document.write( "B paid:  = \r
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document.write( "5C = 1,200 ------- Subtracting eq (iv) from eq (i)
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document.write( "C paid:  = 
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document.write( "D paid: $1,200 - (400 + 300 + 240), or $1.200 - 940 =  \n" );
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