document.write( "Question 530375: Three boxes of cookies are labelled A, B, and C. It is known that boxes A and B together contain 35 cookies, boxes A and C contain 28 cookies, and boxes B and C contain 37 cookies. How many cookies are in each box? \n" ); document.write( "
Algebra.Com's Answer #350027 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Three boxes of cookies are labeled A, B, and C. \n" ); document.write( " It is known that boxes A and B together contain 35 cookies, boxes A and C contain 28 cookies, and boxes B and C contain 37 cookies. \n" ); document.write( " How many cookies are in each box? \n" ); document.write( ": \n" ); document.write( "Add all three equations of each box \n" ); document.write( "A + B + 0 = 35 \n" ); document.write( "A + 0 + C = 28 \n" ); document.write( "0 + B + C = 37 \n" ); document.write( "-------------- \n" ); document.write( "2A + 2B + 2C = 100 \n" ); document.write( "simplify divide by 2 \n" ); document.write( "A + B + C = 50 \n" ); document.write( "A + B + 0 = 35 \n" ); document.write( "----------------Subtract the 1st equation, eliminates A & B, find C \n" ); document.write( "C = 15 in box C \n" ); document.write( ": \n" ); document.write( "A + C = 28 \n" ); document.write( "A + 15 = 28 \n" ); document.write( "A = 28 - 15 \n" ); document.write( "A = 13 in box A \n" ); document.write( ": \n" ); document.write( "B + C = 37 \n" ); document.write( "B + 15 = 37 \n" ); document.write( "B = 37 - 15 \n" ); document.write( "B = 22 in Box B \n" ); document.write( ": \n" ); document.write( "You can confirms these solutions in the given statements \n" ); document.write( " |