document.write( "Question 31376: I am taking a basic math class for my college degree. However it has been 20+ years! I have a word problem that I can't quite figure out how to put into a formula. \r
\n" ); document.write( "\n" ); document.write( "Shannon earns $70 a week more than Diane. Diane earns $40 more than Lori. Lori earns $50 more than Sylvia. The four of them earn a total of $1,500. How much does each person earn? \r
\n" ); document.write( "\n" ); document.write( "I had started with x = Sylvia. Then Lori(L) = x+50, and Diane(D) = L+40, and Shannon(S) = D+70. But I don't think this is right. \r
\n" ); document.write( "\n" ); document.write( "Thank you for your assistance. \n" ); document.write( "

Algebra.Com's Answer #18078 by askmemath(368) $\"\"$ $\"About$

You can put this solution on YOUR website!
x = Sylvia. Then Lori(L) = x+50, and Diane(D) = L+40, and Shannon(S) = D+70.
\n" ); document.write( "You are on the right Path
\n" ); document.write( "Diane = L+40
\n" ); document.write( "but we know that L = X+50
\n" ); document.write( "So D = X+50+40 = X+90
\n" ); document.write( "Similarly Shannon = X+90+70 = X+160\r
\n" ); document.write( "\n" ); document.write( "So total earnings = X + X+50 + X+90 + X+160 = 4X +300
\n" ); document.write( "But total we know is $1,500
\n" ); document.write( "So 4X+300 = 1500
\n" ); document.write( "Subtracting 300 on both sides
\n" ); document.write( "4X = 1200
\n" ); document.write( "X = 1200/4
\n" ); document.write( "X = 300\r
\n" ); document.write( "\n" ); document.write( "I hope you can find the rest of the earnings from here :-) \n" ); document.write( "

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