document.write( "Question 948418: A family has two cars. The first car has a fuel efficiency of 35 miles per gallon, the second car has a fuel efficiency of 40 miles per gallon. The two cars drove a combined total of 2600 miles, in which equaled out to 70 gallons of gas used in one week. How many gallons of gas were used by each vehicle?\r
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Algebra.Com's Answer #578897 by macston(5194)\"\" \"About 
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A=miles on car with 35 mpg; B=miles on car with 40 mpg
\n" ); document.write( "A+B=2600 Solve for A
\n" ); document.write( "A=2600-B
\n" ); document.write( "\"A%2F35mpg%2BB%2F40mpg=70+gallons\" Substitute for A
\n" ); document.write( "\"%282600-B%29%2F35mpg%2BB%2F40mpg=70+gals\"Multiply each side by 35 mpg
\n" ); document.write( "\"2600-B%2B%287B%2F8%29=2450\" Multiply each side by 8.
\n" ); document.write( "20800-8B+7B=19600 Subtract 19600 from each side.
\n" ); document.write( "1200 miles-B=0 Add B to each side.
\n" ); document.write( "1200 miles=B The 40 mpg car drove 1200 miles.
\n" ); document.write( "A+B=2600 miles
\n" ); document.write( "A+1200 miles=2600 miles Subtract 1200 miles from each side.
\n" ); document.write( "A=1400 miles The 35 mpg car drove 1400 miles
\n" ); document.write( "\"%281400+miles%2F35+mpg%29=40+gals\"ANSWER 1: The 35 mpg car used 40 gallons.
\n" ); document.write( "\"%281200+miles%2F40+mpg%29=30+gals\"ANSWER 2: The 40 mpg car used 30 gallons.\r
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