document.write( "Question 448753: A restaurant charges $7 for a regular meal and $5 for a child's meal. Both include tax. A family of nine people spent $53 at the restaurant. How many regular meals and how many children's meal did they pay? \n" ); document.write( "

Algebra.Com's Answer #308750 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = number of regular meals
\n" ); document.write( "Let $\"b\"$ = number of child's meals
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+7a+%2B+5b+=+53+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+9+\"$
\n" ); document.write( "-------------
\n" ); document.write( "Multiply both sides of (2) by $\"5\"$ and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "(1) $\"+7a+%2B+5b+=+53+\"$
\n" ); document.write( "(2) $\"+-5a+-+5b+=+-45+\"$
\n" ); document.write( " $\"+2a+=+8+\"$
\n" ); document.write( " $\"+a+=+4+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+a+%2B+b+=+9+\"$
\n" ); document.write( "(2) $\"+4+%2B+b+=+9+\"$
\n" ); document.write( " $\"+b+=+5+\"$
\n" ); document.write( "The number of regular meals is 4
\n" ); document.write( "The number of child's meals is 5
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+7a+%2B+5b+=+53+\"$
\n" ); document.write( "(1) $\"+7%2A4+%2B+5%2A5+=+53+\"$
\n" ); document.write( "(1) $\"+28+%2B+25+=+53+\"$
\n" ); document.write( " $\"+53+=+53+\"$ \n" ); document.write( "

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