document.write( "Question 883915: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 103 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 106 kilograms. How much does each type of box weigh \n" ); document.write( "

Algebra.Com's Answer #533873 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the weight in kg of a large box
\n" ); document.write( "Let $\"+b+\"$ = the weight in kg of a small box
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+5a+%2B+2b+=+103+\"$
\n" ); document.write( "(2) $\"+3a+%2B+8b+=+106+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+4+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+20a+%2B+8b+=+412+\"$
\n" ); document.write( "(2) $\"+-3a+-+8b+=+-106+\"$
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+17a+=+306+\"$
\n" ); document.write( " $\"+a+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+5%2A18+%2B+2b+=+103+\"$
\n" ); document.write( "(1) $\"+90+%2B+2b+=+103+\"$
\n" ); document.write( "(1) $\"+2b+=+13+\"$
\n" ); document.write( "(1) $\"+b+=+6.5+\"$
\n" ); document.write( "The large box weighs 18 kg and
\n" ); document.write( "the small box weighs 6.5 kg
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+3a+%2B+8b+=+106+\"$
\n" ); document.write( "(2) $\"+3%2A18+%2B+8%2A6.5+=+106+\"$
\n" ); document.write( "(2) $\"+54+%2B+52+=+106+\"$
\n" ); document.write( "(2) $\"+106+=+106+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );