document.write( "Question 322557: a sporting goods store receives a shipment of 124 bags. two types of bags type a 38.50 type b 22.50 total cost is 3430 how many of each type? \n" ); document.write( "

Algebra.Com's Answer #230907 by stanbon(75887) $\"\"$ $\"About$

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a sporting goods store receives a shipment of 124 bags.
\n" ); document.write( "two types of bags: type a 38.50 type b 22.50 total cost is 3430 how many of each type?
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\n" ); document.write( "Quantity Eq.: a + b = 124
\n" ); document.write( "Value Eq.:::38.5a + 22.5b = 3430
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\n" ); document.write( "Multiply thru 1st Eq by 385
\n" ); document.write( "Multiply thru 2nd Eq by 10
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\n" ); document.write( "385a + 385b = 385*124
\n" ); document.write( "285a + 225b = 34300
\n" ); document.write( "-------------------------------
\n" ); document.write( "Subtract 2nd from 1st and solve for \"b\":
\n" ); document.write( "160b = 13440
\n" ); document.write( "b = 84 (# of type \"b\" bags
\n" ); document.write( "----
\n" ); document.write( "Since a + b = 124, a = 124-84 = 40 (# of type \"a\" bags)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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