document.write( "Question 121688: The bill for five glasses of apple juice and four salads is $9.50, but the bill for four glasses of apple juice and five salads is $10.30. What would be the bill for a glass of juice and a salad? \n" ); document.write( "

Algebra.Com's Answer #89337 by jainenderkapoor(61) $\"\"$ $\"About$

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Suppose one apple juice costs $x and salad costs $y
\n" ); document.write( "we get 5x + 4y = 9.50
\n" ); document.write( " 4x + 5y = 10.30
\n" ); document.write( "Multiplying equation (1) by 5 and (2) by 4\r
\n" ); document.write( "\n" ); document.write( " 25x + 20y = 47.50
\n" ); document.write( " 16x + 20y = 41.20
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\n" ); document.write( "Subtracting we get - \r
\n" ); document.write( "\n" ); document.write( " 9x = 6.30
\n" ); document.write( " x = 6.30/9 = .70
\n" ); document.write( "Putting value of x in (1)
\n" ); document.write( " 5(.70) + 4y = 9.50
\n" ); document.write( " 3.5 + 4y = 9.50
\n" ); document.write( " 4y = 9.50 - 3.50 = 6.0
\n" ); document.write( " y = 6.00 / 4 = 1.50\r
\n" ); document.write( "\n" ); document.write( "Cost of 1 glass of apple juice is $0.70 and of 1 salad is $1.50
\n" ); document.write( "Therefore cost of bill for 1 glass of apple juice and 1 salad is .70+1.50 = $2.20\r
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\n" ); document.write( "\n" ); document.write( "Hope the solution is clear to you. If you have any doubt you can contact me at jainenderkapoor@gmail.com I am also available for Online Tutoring at very reasonable rates. \n" ); document.write( "

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