document.write( "Question 1105045: If you buy seven hamburgers and three sodas at a local fast food restaurant, you receive one dollar in change from a $20 bill. If you buy ate hamburgers and two sodas, you receive $.50 in change from a $20 bill. How much change will you receive from a five dollar bill if you buy one hamburger and one soda \n" ); document.write( "
Algebra.Com's Answer #719997 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The other tutor's answer is not right; perhaps you can see where she made her mistake....

\n" ); document.write( "\"7a%2B3b+=+19\" you get $1 change from a $20 bill when buying 7 burgers and 3 sodas
\n" ); document.write( "\"8a%2B2b+=+19.5\" you get $0.50 change from a $20 bill when buying 8 burgers and 2 sodas

\n" ); document.write( "Use elimination: multiply the first equation by 2 and the second by 3 and subtract to eliminate y:
\n" ); document.write( "\"14a%2B6b+=+38\"
\n" ); document.write( "\"24a%2B6b+=+58.5\"
\n" ); document.write( "\"10a+=+20.5\"
\n" ); document.write( "\"a+=+2.05\" each burger costs $2.05

\n" ); document.write( "Substitute in either original equation to solve for y:
\n" ); document.write( "\"7%282.05%29%2B3b+=+19\"
\n" ); document.write( "\"14.35=3b+=+19\"
\n" ); document.write( "\"3b+=+4.65\"
\n" ); document.write( "\"b+=+1.55\" each soda costs $1.55

\n" ); document.write( "One burger and one soda costs $3.60; you get $1.40 change from a $5 bill.
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