document.write( "Question 634233: At 11 o'clock this morning, mel's parking lot was full. Mel noticed that the ratio of cars to trucks was 5:2. By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more cars had parked in the lot. The ratio of cars to trucks was then 6:1. How many vehicles are Parked in mel's parking lot when the lot is full? \n" ); document.write( "
Algebra.Com's Answer #399545 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! At 11 o'clock this morning, mel's parking lot was full. \n" ); document.write( " Mel noticed that the ratio of cars to trucks was 5:2. \n" ); document.write( " By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more cars \n" ); document.write( " had parked in the lot. \n" ); document.write( " The ratio of cars to trucks was then 6:1. \n" ); document.write( " How many vehicles are Parked in mel's parking lot when the lot is full? \n" ); document.write( ": \n" ); document.write( "Let x = the multiplier \n" ); document.write( "then when the parking lot was full: \n" ); document.write( "5x = no. of cars \n" ); document.write( "2x = no. of trucks \n" ); document.write( ": \n" ); document.write( "\" By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more cars \n" ); document.write( " had parked in the lot. The ratio of cars to trucks was then 6:1. \" \n" ); document.write( " \n" ); document.write( "Cross multiply to find x \n" ); document.write( "5x + 10 = 6(2x-10) \n" ); document.write( "5x + 10 = 12x - 60 \n" ); document.write( "10 + 60 = 12x - 5x \n" ); document.write( "70 = 7x \n" ); document.write( "x = 10 \n" ); document.write( "therefore originally there were: \n" ); document.write( "5(10) = 50 cars \n" ); document.write( "2(10) = 20 trucks \n" ); document.write( "(when the parking lot was full)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |