document.write( "Question 1147256: Hi\r
\n" ); document.write( "\n" ); document.write( "jack and jill had some money in the ratio of 5:2. They jointly paid for a restaurant bill respectively in the ratio of 2:1. If jill spent 20 percent of her money and jack had 126 dollars left, how much was the bill.\r
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Algebra.Com's Answer #768580 by MathTherapy(10555) $\"\"$ $\"About$

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Hi\r
\n" ); document.write( "\n" ); document.write( "jack and jill had some money in the ratio of 5:2. They jointly paid for a restaurant bill respectively in the ratio of 2:1. If jill spent 20 percent of her money and jack had 126 dollars left, how much was the bill.\r
\n" ); document.write( "\n" ); document.write( "thanks
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With Jack to Jill's ratio being 5:2, and with the multiplicative factor being x, we can say that the original amounts Jack and Jill had were: 5x and 2x
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document.write( "With a 2:1 bill-ratio, and b being the amount of the bill, Jack paid 
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document.write( "After paying his portion of bill, Jack had  left, which was $126
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document.write( "So, we get: 
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document.write( "15x  -  2b = 378 ------ Multiplying by LCD, 3 ------- eq (i)
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document.write( "With a 2:1 bill-ratio, and b being the amount of the bill, Jill paid 
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document.write( "After paying her portion of bill, Jill had .8(2x) left
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document.write( "So, we get:  
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document.write( "6x  -  b = 4.8x ------ Multiplying by LCD, 3
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document.write( "6x  -  4.8x - b = 0
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document.write( "1.2x - b = 0 --------- eq (ii)
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document.write( "- 2.4x + 2b = 0 ------ Multiplying eq (ii) by - 2 ------- eq (iii)
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document.write( "12.6x = 378 ---------- Adding eqs (iii) & (i)
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document.write( "1.2(30)  -  b = 0 --- Substituting 30 for x in eq (ii)
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document.write( "36  -  b = 0
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document.write( "36 = 0 + b
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document.write( "b, or  \n" );
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