document.write( "Question 413981: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 65 pounds. The truck is transporting 70 large boxes and 55 small boxes. If the truck is carrying a total of 4250 pounds in boxes, how much does each type of box weigh? \n" ); document.write( "

Algebra.Com's Answer #290415 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = weight of large box in pounds
\n" ); document.write( "Let $\"b\"$ = weight of small box in pounds
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"70a+%2B+55b+=+4250\"$
\n" ); document.write( "(2) $\"a+%2B+b+=+65\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (2) by $\"55\"$ and
\n" ); document.write( "subtract from (1)
\n" ); document.write( "(1) $\"70a+%2B+55b+=+4250\"$
\n" ); document.write( "(2) $\"-55a+-+55b+=+-3575\"$
\n" ); document.write( " $\"15a+=+675\"$
\n" ); document.write( " $\"a+=+45\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"45+%2B+b+=+65\"$
\n" ); document.write( " $\"b+=+20\"$
\n" ); document.write( "A large box weighs 45 pounds
\n" ); document.write( "A small box weighs 20 pounds
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"70a+%2B+55b+=+4250\"$
\n" ); document.write( "(1) $\"70%2A45+%2B+55%2A20+=+4250\"$
\n" ); document.write( " $\"3150+%2B+1100+=+4250\"$
\n" ); document.write( " $\"4250+=+4250\"$
\n" ); document.write( "OK\r
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