document.write( "Question 1154226: I can’t find the answer...\r
\n" ); document.write( "\n" ); document.write( "I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $800$ pounds more than each of her trucks, but no more than $\frac{1}{3}$ of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?
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Algebra.Com's Answer #776631 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
I own a large truck, and my neighbor owns four small trucks that are all identical. \r
\n" ); document.write( "\n" ); document.write( "My truck can carry a load of at least \"800\" pounds \"more\" than each of her trucks, but no more than \"%281%2F3%29\" of the total load her \"four\" trucks combined can carry. \r
\n" ); document.write( "\n" ); document.write( "Based on these facts, what is the greatest load I can be sure that my \"large%7B%7B%7B+truck+can+carry%2C+in+pounds%3F%0D%0A%0D%0Alet+a+large+truck+be+%7B%7B%7Bx\" and small trucks \"y\"\r
\n" ); document.write( "\n" ); document.write( "if your truck can carry a load of at least \"800\" pounds \"more\" than each of her trucks, we have\r
\n" ); document.write( "\n" ); document.write( "\"x=y%2B800\"........eq.1 ( = sign means assuming the greatest load you can be sure that my large truck can carry, in pounds)\r
\n" ); document.write( "\n" ); document.write( "if your truck can carry no more than \"%281%2F3%29\" of the total load her \"four\" trucks, we have
\n" ); document.write( "\"x=%281%2F3%294y\"........eq.2\r
\n" ); document.write( "\n" ); document.write( "substitute \"x\" from eq.1 \r
\n" ); document.write( "\n" ); document.write( "\"y%2B800=%281%2F3%294y\"\r
\n" ); document.write( "\n" ); document.write( "\"800=%281%2F3%294y-y\"\r
\n" ); document.write( "\n" ); document.write( "\"800=4y%2F3-3y%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"800=y%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=800%2A3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=2400\"\r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"x=y%2B800\"........eq.1, substitute \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2400%2B800\"\r
\n" ); document.write( "\n" ); document.write( "\"x=3200\"->the greatest load you can be sure that my large truck can carry\r
\n" ); document.write( "\n" ); document.write( "so, your truck can carry \"3200\" pounds and each of her trucks can carry
\n" ); document.write( " \"2400\" \r
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