document.write( "Question 69452: A bottle and a cap together cost $1.10. The bottle cost $1.00 more than the cap. How much does each cost? \n" ); document.write( "

Algebra.Com's Answer #49506 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let b=bottle c=cap
\n" ); document.write( "Set up equation
\n" ); document.write( " $\"c%2Bb=1.1\"$ since bottle cost $1.00 more than cap, we can rewrite b in terms of c. Let b=c+1
\n" ); document.write( " $\"c%2B%28c%2B1%29=1.1\"$ Solve for b
\n" ); document.write( " $\"2c%2Bcross%281-1%29=1.1-1\"$ Subtract 1 from both sides
\n" ); document.write( " $\"cross%282%29c%2Fcross%282%29=.1\"$ Divide both sides by 2
\n" ); document.write( " $\"c=0.05\"$
\n" ); document.write( "Cost of cap=$0.05
\n" ); document.write( "b=.05+1=1.05
\n" ); document.write( "Cost of bottle=$1.05 \n" ); document.write( "

\n" );