document.write( "Question 50474: My son is in 8th grade and I am trying to help him with\r\n" );
document.write( "math. Please explain a formula to figure these types\r\n" );
document.write( "of problems. Thanks\r\n" );
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document.write( "A bike costs $100 more than a scooter. A scooter costs $60\r\n" );
document.write( "more than a skateboard. the total cost of the 3 items is\r\n" );
document.write( "$310. How much is skateboard? Scooter? Bike?
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Algebra.Com's Answer #33525 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Bike = Scooter + $100 \n" ); document.write( "Scooter = Skateboard + $60 \n" ); document.write( "Skateboard = unknown cost = x \n" ); document.write( "Total cost of all three = $310 \n" ); document.write( ". \n" ); document.write( "Bike + Scooter + Skateboard = $310 [Basic addition formula] \n" ); document.write( ". \n" ); document.write( "(Scooter + 100) + (Skateboard + 60) + (Skateboard) = 310 [Plug-in the values] \n" ); document.write( ". \n" ); document.write( "[(Skateboard + 60) + 100) + (Skateboard + 60) + (Skateboard)] = 310 \n" ); document.write( "[Substitute the value of the scooter for \"skateboard + 60\"] \n" ); document.write( ". \n" ); document.write( "((x + 60) + 100) + (x + 60) + (x) = 310 [Substitute \"x\" for \"skateboard\"] \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "x + 60 + 100 + x + 60 + x = 310 [Remove the parentheis and simplify (add)] \n" ); document.write( "3x + 220 = 310 [Here is the simplified equation of the problem] \n" ); document.write( "3x + 220 - 220 = 310 - 220 [solve for x] \n" ); document.write( "3x= 90 \n" ); document.write( "3x/3=90/3 \n" ); document.write( "x=30 \n" ); document.write( ". \n" ); document.write( "Plug-in the values of the scooter to find the value of the other items: \n" ); document.write( "Bike = Scooter + $100 \n" ); document.write( "Scooter = $30 + $60 = $90 \n" ); document.write( "Skateboard = x = $30 \n" ); document.write( "Total cost of all three = $310 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "Bike = $90 + $100 = $190 \n" ); document.write( "Scooter = $30 + $60 = $90 \n" ); document.write( "Skateboard = x = $30 \n" ); document.write( "Total cost of all three = $310 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "Check by plugging in all of the values back into the basic formula of addition \n" ); document.write( "190+90+30=310 \n" ); document.write( "310=310 [Checks out]\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |