document.write( "Question 201904: Please help me with this problem. Thank you!!!!
\n" ); document.write( "Problem:
\n" ); document.write( "Retail Sales of Sweatshirts.
\n" ); document.write( "Sandy's Sweatshirt Shop sells college sweatshirts. White sell for $18.95 each and red ones sell for $19.50 each. If receipts for the sale of 30 sweatshirts total $572.90, how many of each color did the shop sell?
\n" ); document.write( "Thank you!
\n" ); document.write( "

Algebra.Com's Answer #152148 by PRMath(133)\"\" \"About 
You can put this solution on YOUR website!
Sandy's Sweatshirt Shop sells college sweatshirts. White sell for $18.95 each and red ones sell for $19.50 each. If receipts for the sale of 30 sweatshirts total $572.90, how many of each color did the shop sell? \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Word problems. Blech. Let's get rid of info you don't need, such as the name of the store etc. Those are just added on words that muddy the water.\r
\n" ); document.write( "\n" ); document.write( "Essentially you have:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "White shirts at $18.95 each (Let's label these as \"W\")
\n" ); document.write( "Red shirts at $19.50 each (Let's label these as \"R\")
\n" ); document.write( "Total shirts sold: 30
\n" ); document.write( "Total price for shirts: $572.90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, you have to think that a number of white shirts times 18.95 PLUS a number of red shirts times 19.50....... MINUS the number of white shirts sold....... will give you the total price.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The way you write this equation is:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "18.95W + 19.50R(30 - w) = 572.90 (See where the total number of shirts LESS the number of white shirts (30 - w) sold was slipped into the equation?)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now that you have your equation, you solve........\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "18.95W + 585 - 19.50W = 572.90 (distributed 19.50 times 30 plus 19.50 times w)
\n" ); document.write( "-.55W + 585 = 572.9 (combined the 18.95W - 19.50W)
\n" ); document.write( "-.55W = -12.10 (subtracted 585 from both sides)
\n" ); document.write( "W = 22 (divided both sides by -.55)\r
\n" ); document.write( "\n" ); document.write( "Sooooo, we have 22 shirts were white. Then how many shirts were red? Well, there were 30 sold in total, soooo, if 22 were white, then 8 were red. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Does this check out?\r
\n" ); document.write( "\n" ); document.write( "W = 22 white shirts with a total white price of 416.90
\n" ); document.write( "R = 9 red shirts, with a total red prices of... 156.00\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "TOTAL price (add two prices above..........) 572.90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "OH so it works! Niiiiiiiice.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps. :-)
\n" ); document.write( "
\n" );