document.write( "Question 399660: This makes no sens what so ever... I am an 7th grader taking highschool math courses and this just stumped me. \r
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document.write( "Sarah and her brother, Jacob, worked hard weeding their neighbor’s garden. Together, they earned a total of $1040. Sarah earned $240 more than Jacob. How much did each of them earn?
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document.write( "Write a system of two equations with two variables to model this problem.
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document.write( " Use substitution or the elimination method to solve the system.
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document.write( " Answer the question.
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document.write( " show how to check your answer.\r
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Algebra.Com's Answer #283000 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Sarah and her brother, Jacob, worked hard weeding their neighbor’s garden. Together, they earned a total of $1040. Sarah earned $240 more than Jacob. How much did each of them earn? \n" ); document.write( "Write a system of two equations with two variables to model this problem. \n" ); document.write( "Use substitution or the elimination method to solve the system. \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "s + j = 1040 \n" ); document.write( "s = j+240 \n" ); document.write( "------------------ \n" ); document.write( "Substitute for \"s\" and solve for \"j\": \n" ); document.write( "(j+240)+j = 1040 \n" ); document.write( "2j = 800 \n" ); document.write( "j = $400 (amount of money Jacob earned) \n" ); document.write( "---------------------------------------- \n" ); document.write( "Solve for \"s\": \n" ); document.write( "s = j+240 \n" ); document.write( "s = 400 + 240 \n" ); document.write( "s = $640 (amount of money Sarah earned) \n" ); document.write( "------------------------ \n" ); document.write( "Checking: \n" ); document.write( "s+j = 1040 \n" ); document.write( "640 + 400 = 1040 \n" ); document.write( "1040 = 1040 \n" ); document.write( "--- \n" ); document.write( "s = j + 240 \n" ); document.write( "640 = 400 + 240 \n" ); document.write( "640 = 640 \n" ); document.write( "------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |