document.write( "Question 1205627: A travel agency offers two Boston trips. Plan A includes hotel accommodations for three nights and two pairs of baseball tickets for $645. Plan B includes hotel accommodations for five nights and four pairs of baseball tickets for $1135. a. Let x represent the cost of one night’s hotel stay and y represent the cost of one pair of baseball tickets. Write a system of equations you could use to solve this problem for the cost of the hotel and baseball tickets. \n" ); document.write( "
Algebra.Com's Answer #842548 by Theo(13342)\"\" \"About 
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x = number of nights at a hotel.
\n" ); document.write( "y = number of pairs of baseball tickets.\r
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\n" ); document.write( "\n" ); document.write( "option A has 3 nights and 2 pairs of tickets.
\n" ); document.write( "option B has 5 nights and 4 pairs of tickets.\r
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\n" ); document.write( "\n" ); document.write( "two equations that need to be solved simultaneously are:\r
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\n" ); document.write( "\n" ); document.write( "3x + 2y = 645 for option A.
\n" ); document.write( "5x + 4y = 1135 for option B.\r
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\n" ); document.write( "\n" ); document.write( "multiply both sides of the first equation by 2 and leave the second equation as is to get:\r
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\n" ); document.write( "\n" ); document.write( "6x + 4y = 1290
\n" ); document.write( "5x + 4y = 1135\r
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\n" ); document.write( "\n" ); document.write( "subtract the second equation from the first to get:\r
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\n" ); document.write( "\n" ); document.write( "x = 155\r
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\n" ); document.write( "\n" ); document.write( "solve for y in the first equation to get:\r
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\n" ); document.write( "\n" ); document.write( "6*155 + 4y = 1290
\n" ); document.write( "4y = 1290 - 930 = 360
\n" ); document.write( "y = 360/4 = 90\r
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\n" ); document.write( "\n" ); document.write( "you have x = 155 and y = 90
\n" ); document.write( "that's 155 a night at a hotel and 90 for a pair of tickets.
\n" ); document.write( "that's your solution.\r
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\n" ); document.write( "\n" ); document.write( "you can confirm by replacing x with 155 and y with 90 in your two original equations.\r
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\n" ); document.write( "\n" ); document.write( "you will get 3*155 + 2 * 90 = 645 and you will get 5*155 + 4*90 = 1135, as i did.\r
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