document.write( "Question 721481: Now, there are a different number of ordinary bicycles, tandem bikes, and tricycles in the shop. there are 135 seats,118 front handlebars, and 269 wheels. how many regular bikes, tandem bikes, and tricycles are there? \n" ); document.write( "
Algebra.Com's Answer #442401 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! Now, there are a different number of ordinary bicycles, tandem bikes, and tricycles in the shop. there are 135 seats,118 front handlebars, and 269 wheels. how many regular bikes, tandem bikes, and tricycles are there? \n" ); document.write( " \r\n" ); document.write( "Every vehicle has a front handlebar. There are 118 front handlebars so there\r\n" ); document.write( "are 118 vehicles. They all have two wheels except for the tricycles. If they\r\n" ); document.write( "all had 2 wheels there would be only 2×118 or 236 wheels. But there are 269\r\n" ); document.write( "wheels. Therefore the extra 269-236 or 33 wheels are on the tricycles. So\r\n" ); document.write( "there are 33 tricycles.\r\n" ); document.write( "\r\n" ); document.write( "Now we can eliminate the 33 tricycles. Each tricycle has 1 front handlebar and 1\r\n" ); document.write( "seat. We have already taken care of the handlebars and wheels. So we subtract\r\n" ); document.write( "those and the problem becomes: \r\n" ); document.write( " \n" ); document.write( "Now, there are 85 bicycles and tandem bikes in the shop. These have 102 seats. How many bikes and tandem bikes are there? \n" ); document.write( " \r\n" ); document.write( "If all those 85 vehicles had just 1 seat there would be 85 seats. But there\r\n" ); document.write( "are 102 seats, so the extra 17 seats are on the tandem bikes. \r\n" ); document.write( "\r\n" ); document.write( "So there are 17 tandem bikes, and the remaining 68 seats are on regular\r\n" ); document.write( "bicycles.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 68 regular bicycles, 17 tandem bikes, and 33 tricycles. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |