document.write( "Question 1155892: A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the second consumed 30 gallons of gas. The two cars drove a combined total of 2150 miles, and the sum of their fuel efficiencies was 60 miles per gallon. What were the fuel efficiencies of each of the cars that week? \n" ); document.write( "

Algebra.Com's Answer #778575 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = the miles / gallon for the 1st car
\n" ); document.write( " $\"+60+-+x+\"$ = the miles / gallon for the 2nd car
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+40x+%2B+30%2A%28+60+-+x+%29+=+2150+\"$
\n" ); document.write( " $\"+40x+%2B+1800+-+30x+=+2150+\"$
\n" ); document.write( " $\"+10x+=+350+\"$
\n" ); document.write( " $\"+x+=+35+\"$
\n" ); document.write( " $\"+60+-+x+=+60+-+35+\"$
\n" ); document.write( " $\"+60+-+x+=+25+\"$
\n" ); document.write( "35 miles / gallon for the 1st car
\n" ); document.write( "25 miles / gallon for the 2nd car
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+40x+%2B+30%2A%28+60+-+x+%29+=+2150+\"$
\n" ); document.write( " $\"+40%2A35+%2B+30%2A25+=+2150+\"$
\n" ); document.write( " $\"+1400+%2B+750+=+2150+\"$
\n" ); document.write( " $\"+2150+=+2150+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );