document.write( "Question 9845: A sporting goods store sold twice as many T-shirts as shorts. Tshirts are $9 each and shorts are $14.The total amount sold is $256.How many were sold of each?
\n" ); document.write( "2(9T)+14S=256. \n" ); document.write( "

Algebra.Com's Answer #5304 by prince_abubu(198) $\"\"$ $\"About$

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Let's deal with the shirts and shorts first. They said that they sold twice more T-shirts than shorts. This translates to $\"+T+=+2S+\"$ . T for T-shirt, S for shorts. Say WHAT!? If there were more shirts sold, then why do the shorts get the 2 multiplied to it!? Since there are less shorts sold than shirts, as the problem says, the shorts are the ones that need to be multiplied by 2 to equal the number of shirts sold.\r
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\n" ); document.write( "\n" ); document.write( "So, the money collected from selling shorts is $\"+14S+\"$ . The money collected from selling shirts is $\"+9T+\"$ . We have to add these two totals to come up with a grand total of $256.00:\r
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\n" ); document.write( "\n" ); document.write( " $\"+14S+%2B+9T+=+256+\"$ <---------- Start here\r
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\n" ); document.write( "\n" ); document.write( " $\"+14S+%2B+9%282S%29+=+256+\"$ <-------- We substituted 2S for T because of the relationship given to us (that there are twice more shirts than shorts). This way, we'll be solving an equation with only one variable.\r
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\n" ); document.write( "\n" ); document.write( " $\"+14S+%2B+18S+=+256+\"$ <----- simplified\r
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\n" ); document.write( "\n" ); document.write( " $\"+32S+=+256+\"$ <------ combined like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"+S+=+8+\"$ <-------- There were 8 shorts sold. If there were twice more shirts, then there were 16 shirts sold. \n" ); document.write( "

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