document.write( "Question 327807: Kathy and Juanita had a light afternoon snack. Kathy enjoyed 3 chips and 2 pretzels, for a total of 77 calories. Juanita enjoyed 2 chips and 15 pretzels, for a total of 195 calories. How many calories are each pretzel? \n" ); document.write( "
Algebra.Com's Answer #234784 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Kathy and Juanita had a light afternoon snack. \n" ); document.write( " Kathy enjoyed 3 chips and 2 pretzels, for a total of 77 calories. \n" ); document.write( " Juanita enjoyed 2 chips and 15 pretzels, for a total of 195 calories. \n" ); document.write( "How many calories are each pretzel? \n" ); document.write( ": \n" ); document.write( "let c = no. of calories in a chip \n" ); document.write( "let p = no. of calories in a pretzel \n" ); document.write( ": \n" ); document.write( "Write an equation for each girl \n" ); document.write( ": \n" ); document.write( "3c + 2p = 77 \n" ); document.write( "2c + 15p = 195 \n" ); document.write( ": \n" ); document.write( "Multiply the 1st equation by 7.5, subtract the 2nd equation \n" ); document.write( "22.5c + 15p = 577.5 \n" ); document.write( "2c + 15p = 195 \n" ); document.write( "------------------subtraction eliminate p, find c \n" ); document.write( "20.5c = 382.5 \n" ); document.write( "c = \n" ); document.write( "c = 18.7 calories \n" ); document.write( ": \n" ); document.write( "Find p \n" ); document.write( "3(18.7) + 2p = 77 \n" ); document.write( "56 + 2p = 77 \n" ); document.write( "2p = 77-56 \n" ); document.write( "2p = 21 \n" ); document.write( "p = \n" ); document.write( "p = 10.5 calories \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in 2nd original equation, 2c + 15p = 195: \n" ); document.write( "2(18.7) + 15(10.5) = \n" ); document.write( "37.4 + 157.5 = 194.9 ~ 195 \n" ); document.write( " |