document.write( "Question 1078918: On Saturday Silvio went shopping. He spent half of his money and 5$ more in the sports shop. He then spent half of what he had left on 2 magazines. After spending half of his remaining money on food, he had 2$ left. How much did he have when he started shopping.? \n" ); document.write( "
Algebra.Com's Answer #693371 by ikleyn(52839)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "On Saturday Silvio went shopping. He spent half of his money and 5$ more in the sports shop.
\n" ); document.write( "He then spent half of what he had left on 2 magazines.
\n" ); document.write( "After spending half of his remaining money on food, he had 2$ left.
\n" ); document.write( "How much did he have when he started shopping.?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let M be the money Silvio had before he started shopping.\r\n" );
document.write( "\r\n" );
document.write( "In the sport shop he spent \"M%2F2+%2B5\" dollars.\r\n" );
document.write( "Hence, after the sport shop he had {{M - (M/2+5)}}} = \"M%2F2-5\" dollars.\r\n" );
document.write( "\r\n" );
document.write( "He then spent \"%281%2F2%29%2A%28M%2F2-5%29\" = \"M%2F4-5%2F2\" dollars on 2 magazines.\r\n" );
document.write( "After that he had \"%28M%2F2-5%29+-+%28M%2F4-5%2F2%29\" = \"M%2F4+-+5%2F2\" dollars.\r\n" );
document.write( "\r\n" );
document.write( "Then Silvio spent half of that on food, i.e. he spent \"%281%2F2%29%2A%28M%2F4-5%2F2%29\" = \"M%2F8+-+5%2F4\" dollars on food.\r\n" );
document.write( "\r\n" );
document.write( "After that he had \"%28M%2F4-5%2F2%29+-+%28M%2F8-5%2F4%29\" = \"M%2F8+-+5%2F4\".\r\n" );
document.write( "\r\n" );
document.write( "It is exactly $2, so you have an equation\r\n" );
document.write( "\r\n" );
document.write( "\"M%2F8-5%2F4\" = 2.\r\n" );
document.write( "\r\n" );
document.write( "---->  Multiply by 8 both sides. You will get\r\n" );
document.write( "\r\n" );
document.write( "M - 10 = 16.\r\n" );
document.write( "\r\n" );
document.write( "Hence, M = 10 + 16 = 26 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Silvio had $26 before he started shopping.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );