document.write( "Question 1204692: Hi
\n" ); document.write( "2 cups 2 saucers and a teapot cost $30.20 A cup costs twice as much as a saucer. The teapot cost $7 more than a saucer. What is the cost of the teapot. Thanks.\r
\n" ); document.write( "\n" ); document.write( "My son found a solution with fractions. Could I have a second opinion please
\n" ); document.write( "

Algebra.Com's Answer #841123 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "x = cost of one saucer
\n" ); document.write( "x+7 = cost of one teapot
\n" ); document.write( "2x = cost of one cup\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x = cost of 2 saucers
\n" ); document.write( "2*2x = 4x = cost of 2 cups\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(4x)+(2x)+(x+7) = cost of 2 cups, 2 saucers, and 1 teapot
\n" ); document.write( "(4x)+(2x)+(x+7) = 30.20\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's solve for x
\n" ); document.write( "(4x)+(2x)+(x+7) = 30.20
\n" ); document.write( "4x+2x+x+7 = 30.20
\n" ); document.write( "7x+7 = 30.20
\n" ); document.write( "7x = 30.20-7
\n" ); document.write( "7x = 23.20
\n" ); document.write( "x = 23.20/7
\n" ); document.write( "x = 3.3142857 approximately
\n" ); document.write( "x = 3.31 is the cost of one saucer when rounding to the nearest cent
\n" ); document.write( "x+7 = 3.31 + 7 = 10.31 is the cost of one teapot
\n" ); document.write( "2x = 2*3.31 = 6.62 is the cost of one cup\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "2 cups + 2 saucers + 1 teapot = 2*6.62 + 2*3.31 + 10.31 = 30.17
\n" ); document.write( "which is somewhat close to the goal of 30.20
\n" ); document.write( "Things are off a bit because we went from 3.3142857 to 3.31\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There might be a typo with one or more of the numbers given by the teacher.
\n" ); document.write( "I recommend contacting your son's teacher for clarification.
\n" ); document.write( "
\n" ); document.write( "
\n" );